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100444301244 = 223272081191537
BaseRepresentation
bin101110110001011110…
…0100110011110111100
3100121021010200011222100
41131202330212132330
53121202220114434
6114050553545100
710154050321260
oct1354274463674
9317233604870
10100444301244
113966420a211
1217572715190
1396198925a1
144c0c0780a0
15292d24e699
hex1762f267bc

100444301244 has 72 divisors (see below), whose sum is σ = 290313380448. Its totient is φ = 28684431360.

The previous prime is 100444301233. The next prime is 100444301291. The reversal of 100444301244 is 442103444001.

100444301244 is a `hidden beast` number, since 100 + 4 + 4 + 430 + 124 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 428644 + ... + 620180.

It is an arithmetic number, because the mean of its divisors is an integer number (4032130284).

Almost surely, 2100444301244 is an apocalyptic number.

100444301244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100444301244 is an abundant number, since it is smaller than the sum of its proper divisors (189869079204).

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

100444301244 is a wasteful number, since it uses less digits than its factorization.

100444301244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193635 (or 193630 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 100444301244 its reverse (442103444001), we get a palindrome (542547745245).

The spelling of 100444301244 in words is "one hundred billion, four hundred forty-four million, three hundred one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 2081 4162 6243 8324 12486 14567 18729 24972 29134 37458 43701 58268 74916 87402 131103 174804 191537 262206 383074 524412 574611 766148 1149222 1340759 1723833 2298444 2681518 3447666 4022277 5363036 6895332 8044554 12066831 16089108 24133662 48267324 398588497 797176994 1195765491 1594353988 2391530982 2790119479 3587296473 4783061964 5580238958 7174592946 8370358437 11160477916 14349185892 16740716874 25111075311 33481433748 50222150622 100444301244