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4214054502 = 2327317314779
BaseRepresentation
bin1111101100101101…
…0101111001100110
3101212200111011000200
43323023111321212
532112244221002
61534053451330
7206266605120
oct37313257146
911780434020
104214054502
1118727a6579
12997340b46
13522089b98
142bd954210
15199e58b1c
hexfb2d5e66

4214054502 has 96 divisors (see below), whose sum is σ = 10919700480. Its totient is φ = 1149137280.

The previous prime is 4214054491. The next prime is 4214054519. The reversal of 4214054502 is 2054504124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277749 + ... + 292527.

It is an arithmetic number, because the mean of its divisors is an integer number (113746880).

Almost surely, 24214054502 is an apocalyptic number.

4214054502 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4214054502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459850240).

4214054502 is an abundant number, since it is smaller than the sum of its proper divisors (6705645978).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4214054502 is a wasteful number, since it uses less digits than its factorization.

4214054502 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14898 (or 14895 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 4214054502 is about 64915.7492600987. The cubic root of 4214054502 is about 1615.2263197928.

Adding to 4214054502 its reverse (2054504124), we get a palindrome (6268558626).

The spelling of 4214054502 in words is "four billion, two hundred fourteen million, fifty-four thousand, five hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 73 93 126 146 186 217 219 279 434 438 511 558 651 657 1022 1302 1314 1533 1953 2263 3066 3906 4526 4599 6789 9198 13578 14779 15841 20367 29558 31682 40734 44337 47523 88674 95046 103453 133011 142569 206906 266022 285138 310359 458149 620718 916298 931077 1078867 1374447 1862154 2157734 2748894 3207043 3236601 4123341 6414086 6473202 7552069 8246682 9621129 9709803 15104138 19242258 19419606 22656207 28863387 33444877 45312414 57726774 66889754 67968621 100334631 135937242 200669262 234114139 301003893 468228278 602007786 702342417 1404684834 2107027251 4214054502