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5140313541 = 341137413803
BaseRepresentation
bin1001100100110001…
…01111010111000101
3111021020101222120000
410302120233113011
541011410013131
62210022431513
7241244641566
oct46230572705
914236358500
105140313541
1121a8633710
12bb5592599
1363bc4885c
1436a98816d
15201420ce6
hex13262f5c5

5140313541 has 80 divisors (see below), whose sum is σ = 8815359168. Its totient is φ = 2956435200.

The previous prime is 5140313527. The next prime is 5140313603. The reversal of 5140313541 is 1453130415.

It is a happy number.

5140313541 is a `hidden beast` number, since 51 + 40 + 31 + 3 + 541 = 666.

It is not a de Polignac number, because 5140313541 - 215 = 5140280773 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5140313041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1349746 + ... + 1353548.

Almost surely, 25140313541 is an apocalyptic number.

It is an amenable number.

5140313541 is a deficient number, since it is larger than the sum of its proper divisors (3675045627).

5140313541 is a wasteful number, since it uses less digits than its factorization.

5140313541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904 (or 3895 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5140313541 is about 71695.9799500641. The cubic root of 5140313541 is about 1725.8241294558.

Adding to 5140313541 its reverse (1453130415), we get a palindrome (6593443956).

The spelling of 5140313541 in words is "five billion, one hundred forty million, three hundred thirteen thousand, five hundred forty-one".

Divisors: 1 3 9 11 27 33 37 41 81 99 111 123 297 333 369 407 451 891 999 1107 1221 1353 1517 2997 3321 3663 3803 4059 4551 10989 11409 12177 13653 16687 32967 34227 36531 40959 41833 50061 102681 122877 125499 140711 150183 155923 308043 376497 422133 450549 467769 1129491 1266399 1351647 1403307 1547821 1715153 3388473 3799197 4209921 4643463 5145459 5769151 11397591 12629763 13930389 15436377 17307453 41791167 46309131 51922359 63460661 125373501 138927393 155767077 190381983 467301231 571145949 1713437847 5140313541