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5140163424 = 2531111514229
BaseRepresentation
bin1001100100110000…
…01010101101100000
3111021020010100122010
410302120022231200
541011340212144
62210015312520
7241243445124
oct46230125540
914236110563
105140163424
1121a8540950
12bb551b740
1363bbc5426
1436a949584
152013e15b9
hex13260ab60

5140163424 has 96 divisors (see below), whose sum is σ = 14735831040. Its totient is φ = 1555904000.

The previous prime is 5140163411. The next prime is 5140163429. The reversal of 5140163424 is 4243610415.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 5140163391 and 5140163400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5140163429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1213342 + ... + 1217570.

It is an arithmetic number, because the mean of its divisors is an integer number (153498240).

Almost surely, 25140163424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5140163424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7367915520).

5140163424 is an abundant number, since it is smaller than the sum of its proper divisors (9595667616).

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

5140163424 is a wasteful number, since it uses less digits than its factorization.

5140163424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5404 (or 5396 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 5140163424 is about 71694.9330427193. The cubic root of 5140163424 is about 1725.8073290498.

Adding to 5140163424 its reverse (4243610415), we get a palindrome (9383773839).

The spelling of 5140163424 in words is "five billion, one hundred forty million, one hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1151 2302 3453 4229 4604 6906 8458 9208 12661 12687 13812 16916 18416 25322 25374 27624 33832 36832 37983 46519 50644 50748 55248 67664 75966 93038 101288 101496 110496 135328 139557 151932 186076 202576 202992 279114 303864 372152 405152 405984 558228 607728 744304 1116456 1215456 1488608 2232912 4465824 4867579 9735158 14602737 19470316 29205474 38940632 53543369 58410948 77881264 107086738 116821896 155762528 160630107 214173476 233643792 321260214 428346952 467287584 642520428 856693904 1285040856 1713387808 2570081712 5140163424