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4212140535 = 34523412269
BaseRepresentation
bin1111101100010000…
…0010100111110111
3101212112212220120000
43323010002213313
532111301444120
61533544442343
7206244414051
oct37304024767
911775786500
104212140535
111871709589
129967793b3
13521869965
142bd5b68d1
15199bcb990
hexfb1029f7

4212140535 has 120 divisors (see below), whose sum is σ = 8105819040. Its totient is φ = 2088599040.

The previous prime is 4212140501. The next prime is 4212140561. The reversal of 4212140535 is 5350412124.

4212140535 is a `hidden beast` number, since 4 + 2 + 121 + 4 + 0 + 535 = 666.

It is not a de Polignac number, because 4212140535 - 213 = 4212132343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4212140499 and 4212140508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15658381 + ... + 15658649.

It is an arithmetic number, because the mean of its divisors is an integer number (67548492).

Almost surely, 24212140535 is an apocalyptic number.

4212140535 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4212140535 is a deficient number, since it is larger than the sum of its proper divisors (3893678505).

4212140535 is a wasteful number, since it uses less digits than its factorization.

4212140535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4212140535 is about 64901.0056547662. The cubic root of 4212140535 is about 1614.9817447224.

Adding to 4212140535 its reverse (5350412124), we get a palindrome (9562552659).

The spelling of 4212140535 in words is "four billion, two hundred twelve million, one hundred forty thousand, five hundred thirty-five".

Divisors: 1 3 5 9 15 23 27 41 45 69 81 115 123 135 205 207 269 345 369 405 615 621 807 943 1035 1107 1345 1681 1845 1863 2421 2829 3105 3321 4035 4715 5043 5535 6187 7263 8405 8487 9315 11029 12105 14145 15129 16605 18561 21789 25215 25461 30935 33087 36315 38663 42435 45387 55145 55683 75645 76383 92805 99261 108945 115989 127305 136161 165435 167049 193315 226935 253667 278415 297783 347967 381915 452189 496305 501147 579945 680805 761001 835245 893349 1043901 1268335 1356567 1488915 1739835 2260945 2283003 2505735 3131703 3805005 4069701 4466745 5219505 6782835 6849009 10400347 11415015 12209103 15658515 20348505 20547027 31201041 34245045 36627309 52001735 61045515 93603123 102735135 156005205 183136545 280809369 468015615 842428107 1404046845 4212140535