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10411140432 = 2437114915737
BaseRepresentation
bin10011011001000110…
…10110010101010000
3222212120101201202210
421230203112111100
5132310222443212
64441030512120
7515666143050
oct115443262520
928776351683
1010411140432
1144628a99a0
122026805640
13c9bc2c734
1470a9c7560
1540e02253c
hex26c8d6550

10411140432 has 160 divisors (see below), whose sum is σ = 33606134784. Its totient is φ = 2698214400.

The previous prime is 10411140427. The next prime is 10411140457. The reversal of 10411140432 is 23404111401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10411140399 and 10411140408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1811868 + ... + 1817604.

Almost surely, 210411140432 is an apocalyptic number.

10411140432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10411140432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16803067392).

10411140432 is an abundant number, since it is smaller than the sum of its proper divisors (23194994352).

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

10411140432 is a wasteful number, since it uses less digits than its factorization.

10411140432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6257 (or 6251 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10411140432 its reverse (23404111401), we get a palindrome (33815251833).

The spelling of 10411140432 in words is "ten billion, four hundred eleven million, one hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 491 528 616 924 982 1232 1473 1848 1964 2946 3437 3696 3928 5401 5737 5892 6874 7856 10311 10802 11474 11784 13748 16203 17211 20622 21604 22948 23568 27496 32406 34422 37807 40159 41244 43208 45896 54992 63107 64812 68844 75614 80318 82488 86416 91792 113421 120477 126214 129624 137688 151228 160636 164976 189321 226842 240954 252428 259248 275376 302456 321272 378642 441749 453684 481908 504856 604912 642544 757284 883498 907368 963816 1009712 1325247 1514568 1766996 1814736 1927632 2650494 2816867 3029136 3533992 5300988 5633734 7067984 8450601 10601976 11267468 16901202 19718069 21203952 22534936 30985537 33802404 39436138 45069872 59154207 61971074 67604808 78872276 92956611 118308414 123942148 135209616 157744552 185913222 216898759 236616828 247884296 315489104 371826444 433797518 473233656 495768592 650696277 743652888 867595036 946467312 1301392554 1487305776 1735190072 2602785108 3470380144 5205570216 10411140432