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10400044410 = 234572118693
BaseRepresentation
bin10011010111110010…
…00001010101111010
3222211210111222220000
421223321001111322
5132244402410120
64435553013430
7515502630120
oct115371012572
928753458800
1010400044410
114457610328
122022b54276
13c99846042
14709339910
1540d07e990
hex26be4157a

10400044410 has 160 divisors (see below), whose sum is σ = 32114662272. Its totient is φ = 2365614720.

The previous prime is 10400044367. The next prime is 10400044451. The reversal of 10400044410 is 1444000401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1192024 + ... + 1200716.

Almost surely, 210400044410 is an apocalyptic number.

10400044410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10400044410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16057331136).

10400044410 is an abundant number, since it is smaller than the sum of its proper divisors (21714617862).

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

10400044410 is a wasteful number, since it uses less digits than its factorization.

10400044410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8930 (or 8921 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10400044410 its reverse (1444000401), we get a palindrome (11844044811).

The spelling of 10400044410 in words is "ten billion, four hundred million, forty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 211 270 315 378 405 422 567 630 633 810 945 1055 1134 1266 1477 1890 1899 2110 2835 2954 3165 3798 4431 5670 5697 6330 7385 8693 8862 9495 11394 13293 14770 17091 17386 18990 22155 26079 26586 28485 34182 39879 43465 44310 52158 56970 60851 66465 78237 79758 85455 86930 119637 121702 130395 132930 156474 170910 182553 199395 234711 239274 260790 304255 365106 391185 398790 469422 547659 598185 608510 704133 782370 912765 1095318 1173555 1196370 1408266 1642977 1825530 1834223 2347110 2738295 3285954 3520665 3668446 4928931 5476590 5502669 7041330 8214885 9171115 9857862 11005338 12839561 16429770 16508007 18342230 24644655 25679122 27513345 33016014 38518683 49289310 49524021 55026690 64197805 77037366 82540035 99048042 115556049 128395610 148572063 165080070 192593415 231112098 247620105 297144126 346668147 385186830 495240210 577780245 693336294 742860315 1040004441 1155560490 1485720630 1733340735 2080008882 3466681470 5200022205 10400044410