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10045402444 = 22711231519391
BaseRepresentation
bin10010101101100000…
…01010110101001100
3221221002012022120101
421112300022311030
5131033110334234
64340443500444
7503635340410
oct112660126514
927832168511
1010045402444
1142954055a0
121b44227724
13c4122601c
146b41c0d40
153dbd7a814
hex256c0ad4c

10045402444 has 96 divisors (see below), whose sum is σ = 23024074752. Its totient is φ = 3718440000.

The previous prime is 10045402427. The next prime is 10045402463. The reversal of 10045402444 is 44420454001.

It is a super-2 number, since 2×100454024442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 1064989 + ... + 1074379.

It is an arithmetic number, because the mean of its divisors is an integer number (239834112).

Almost surely, 210045402444 is an apocalyptic number.

10045402444 is a gapful number since it is divisible by the number (14) 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 10045402444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11512037376).

10045402444 is an abundant number, since it is smaller than the sum of its proper divisors (12978672308).

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

10045402444 is a wasteful number, since it uses less digits than its factorization.

10045402444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9587 (or 9585 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 10045402444 its reverse (44420454001), we get a palindrome (54465856445).

The spelling of 10045402444 in words is "ten billion, forty-five million, four hundred two thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 151 154 161 253 302 308 322 506 604 644 1012 1057 1661 1771 2114 3322 3473 3542 4228 6644 6946 7084 9391 11627 13892 18782 23254 24311 37564 38203 46508 48622 65737 76406 97244 103301 131474 152812 206602 215993 262948 267421 413204 431986 534842 723107 863972 1069684 1418041 1446214 1511951 2375923 2836082 2892428 3023902 4751846 5672164 6047804 9503692 9926287 15598451 16631461 19852574 31196902 32614943 33262922 39705148 62393804 65229886 66525844 109189157 130459772 218378314 228304601 358764373 436756628 456609202 717528746 913218404 1435057492 2511350611 5022701222 10045402444