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44214314144 = 25711131380317
BaseRepresentation
bin101001001011011000…
…001110010010100000
311020010101000212200112
4221023120032102200
51211022331023034
632151202110452
73123446316650
oct511330162240
9136111025615
1044214314144
11178299116a0
12869b34b428
134228200680
1421d618c360
15123b9927ce
hexa4b60e4a0

44214314144 has 96 divisors (see below), whose sum is σ = 116874285696. Its totient is φ = 15901240320.

The previous prime is 44214314099. The next prime is 44214314147. The reversal of 44214314144 is 44141341244.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 44214314144.

It is not an unprimeable number, because it can be changed into a prime (44214314147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 658127 + ... + 722190.

It is an arithmetic number, because the mean of its divisors is an integer number (1217440476).

Almost surely, 244214314144 is an apocalyptic number.

44214314144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44214314144 is an abundant number, since it is smaller than the sum of its proper divisors (72659971552).

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

44214314144 is a wasteful number, since it uses less digits than its factorization.

44214314144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380358 (or 1380350 counting only the distinct ones).

The product of its digits is 24576, while the sum is 32.

Adding to 44214314144 its reverse (44141341244), we get a palindrome (88355655388).

The spelling of 44214314144 in words is "forty-four billion, two hundred fourteen million, three hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 572 616 728 1001 1144 1232 1456 2002 2288 2464 2912 4004 4576 8008 16016 32032 1380317 2760634 5521268 9662219 11042536 15183487 17944121 19324438 22085072 30366974 35888242 38648876 44170144 60733948 71776484 77297752 106284409 121467896 125608847 143552968 154595504 197385331 212568818 242935792 251217694 287105936 309191008 394770662 425137636 485871584 502435388 574211872 789541324 850275272 1004870776 1381697317 1579082648 1700550544 2009741552 2763394634 3158165296 3401101088 4019483104 5526789268 6316330592 11053578536 22107157072 44214314144