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400204434344 = 231121322446357
BaseRepresentation
bin1011101001011100000…
…10110000101110101000
31102020222221020201012012
411310232002300232220
523024104313344334
6503503521535052
740625303364341
oct5645602605650
91366887221165
10400204434344
111447a8a73a00
126568b7a4488
132b97bab8b00
14155273bb0c8
15a62482b9ce
hex5d2e0b0ba8

400204434344 has 72 divisors (see below), whose sum is σ = 893128610430. Its totient is φ = 167917875840.

The previous prime is 400204434341. The next prime is 400204434379. The reversal of 400204434344 is 443434402004.

It can be written as a sum of positive squares in 3 ways, for example, as 317714850244 + 82489584100 = 563662^2 + 287210^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 400204434344.

It is not an unprimeable number, because it can be changed into a prime (400204434341) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1059587 + ... + 1386770.

Almost surely, 2400204434344 is an apocalyptic number.

400204434344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400204434344 is an abundant number, since it is smaller than the sum of its proper divisors (492924176086).

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

400204434344 is a wasteful number, since it uses less digits than its factorization.

400204434344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446411 (or 2446383 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 400204434344 its reverse (443434402004), we get a palindrome (843638836348).

The spelling of 400204434344 in words is "four hundred billion, two hundred four million, four hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 169 242 286 338 484 572 676 968 1144 1352 1573 1859 3146 3718 6292 7436 12584 14872 20449 40898 81796 163592 2446357 4892714 9785428 19570856 26909927 31802641 53819854 63605282 107639708 127210564 215279416 254421128 296009197 349829051 413434333 592018394 699658102 826868666 1184036788 1399316204 1653737332 2368073576 2798632408 3307474664 3848119561 4547777663 7696239122 9095555326 15392478244 18191110652 30784956488 36382221304 50025554293 100051108586 200102217172 400204434344