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10042110432 = 253419203909
BaseRepresentation
bin10010101101000111…
…00111000111100000
3221220212000001210000
421112203213013200
5131031240013212
64340245140000
7503565346614
oct112643470740
927825001700
1010042110432
114293567222
121b430ba600
13c406427a3
146b39a5344
153db92a1dc
hex2568e71e0

10042110432 has 120 divisors (see below), whose sum is σ = 31088118600. Its totient is φ = 3171177216.

The previous prime is 10042110427. The next prime is 10042110439. The reversal of 10042110432 is 23401124001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042110439) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52707 + ... + 151202.

It is an arithmetic number, because the mean of its divisors is an integer number (259067655).

Almost surely, 210042110432 is an apocalyptic number.

10042110432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10042110432 is an abundant number, since it is smaller than the sum of its proper divisors (21046008168).

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

10042110432 is a wasteful number, since it uses less digits than its factorization.

10042110432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203950 (or 203933 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10042110432 its reverse (23401124001), we get a palindrome (33443234433).

The spelling of 10042110432 in words is "ten billion, forty-two million, one hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 288 304 324 342 432 456 513 608 648 684 864 912 1026 1296 1368 1539 1824 2052 2592 2736 3078 4104 5472 6156 8208 12312 16416 24624 49248 203909 407818 611727 815636 1223454 1631272 1835181 2446908 3262544 3670362 3874271 4893816 5505543 6525088 7340724 7748542 9787632 11011086 11622813 14681448 15497084 16516629 19575264 22022172 23245626 29362896 30994168 33033258 34868439 44044344 46491252 58725792 61988336 66066516 69736878 88088688 92982504 104605317 123976672 132133032 139473756 176177376 185965008 209210634 264266064 278947512 313815951 371930016 418421268 528532128 557895024 627631902 836842536 1115790048 1255263804 1673685072 2510527608 3347370144 5021055216 10042110432