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100444011444 = 22347371196959
BaseRepresentation
bin101110110001011101…
…1011111101110110100
3100121021010010110110000
41131202323133232310
53121202131331234
6114050543431300
710154045003340
oct1354273375664
9317233113400
10100444011444
1139664031507
12175725b5530
1396197c06ca
144c0c000620
15292d1e3899
hex1762edfbb4

100444011444 has 120 divisors (see below), whose sum is σ = 308202836480. Its totient is φ = 27922636224.

The previous prime is 100444011397. The next prime is 100444011541. The reversal of 100444011444 is 444110444001.

100444011444 is a `hidden beast` number, since 100 + 4 + 440 + 114 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 514564 + ... + 682395.

Almost surely, 2100444011444 is an apocalyptic number.

100444011444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100444011444 is an abundant number, since it is smaller than the sum of its proper divisors (207758825036).

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

100444011444 is a wasteful number, since it uses less digits than its factorization.

100444011444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197019 (or 1197008 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 100444011444 its reverse (444110444001), we get a palindrome (544554455445).

The spelling of 100444011444 in words is "one hundred billion, four hundred forty-four million, eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 81 84 108 111 126 148 162 189 222 252 259 324 333 378 444 518 567 666 756 777 999 1036 1134 1332 1554 1998 2268 2331 2997 3108 3996 4662 5994 6993 9324 11988 13986 20979 27972 41958 83916 1196959 2393918 3590877 4787836 7181754 8378713 10772631 14363508 16757426 21545262 25136139 32317893 33514852 43090524 44287483 50272278 64635786 75408417 88574966 96953679 100544556 129271572 132862449 150816834 177149932 193907358 226225251 265724898 301633668 310012381 387814716 398587347 452450502 531449796 620024762 678675753 797174694 904901004 930037143 1195762041 1240049524 1357351506 1594349388 1860074286 2391524082 2714703012 2790111429 3587286123 3720148572 4783048164 5580222858 7174572246 8370334287 11160445716 14349144492 16740668574 25111002861 33481337148 50222005722 100444011444