Search a number
-
+
10400041232 = 2474367167193
BaseRepresentation
bin10011010111110010…
…00000100100010000
3222211210111211112022
421223321000210100
5132244402304412
64435552551012
7515502614630
oct115371004420
928753454468
1010400041232
1144576089a9
122022b52468
13c99844769
147093386c0
1540d07da72
hex26be40910

10400041232 has 160 divisors (see below), whose sum is σ = 24183785472. Its totient is φ = 4240760832.

The previous prime is 10400041199. The next prime is 10400041237. The reversal of 10400041232 is 23214000401.

It is a self number, because there is not a number n which added to its sum of digits gives 10400041232.

It is not an unprimeable number, because it can be changed into a prime (10400041237) 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 31 ways as a sum of consecutive naturals, for example, 53886128 + ... + 53886320.

Almost surely, 210400041232 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 10400041232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12091892736).

10400041232 is an abundant number, since it is smaller than the sum of its proper divisors (13783744240).

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

10400041232 is a wasteful number, since it uses less digits than its factorization.

10400041232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10400041232 its reverse (23214000401), we get a palindrome (33614041633).

The spelling of 10400041232 in words is "ten billion, four hundred million, forty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 43 56 67 86 112 134 167 172 193 268 301 334 344 386 469 536 602 668 688 772 938 1072 1169 1204 1336 1351 1544 1876 2338 2408 2672 2702 2881 3088 3752 4676 4816 5404 5762 7181 7504 8299 9352 10808 11189 11524 12931 14362 16598 18704 20167 21616 22378 23048 25862 28724 32231 33196 40334 44756 46096 50267 51724 57448 58093 64462 66392 78323 80668 89512 90517 100534 103448 114896 116186 128924 132784 156646 161336 179024 181034 201068 206896 225617 232372 257848 313292 322672 362068 402136 451234 464744 481127 515696 556033 626584 724136 804272 902468 929488 962254 1112066 1253168 1385933 1448272 1804936 1924508 2159477 2224132 2771866 3367889 3609872 3849016 3892231 4318954 4448264 5543732 6735778 7698032 7784462 8637908 8896528 9701531 11087464 13471556 15116339 15568924 17275816 19403062 22174928 26943112 30232678 31137848 34551632 38806124 53886224 60465356 62275696 77612248 92857511 120930712 155224496 185715022 241861424 371430044 650002577 742860088 1300005154 1485720176 2600010308 5200020616 10400041232