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44006655660044 = 227111774311311753
BaseRepresentation
bin10100000000110000110010…
…00101000001000000001100
312202210222212111102021102012
422000120121011001000030
521232001112322110134
6233332213432120352
712161242644164420
oct1200303105010014
9182728774367365
1044006655660044
1113027132961630
124b2894bb360b8
131b72a6b24527c
14ac1d0d73cb80
15514aaa1746ce
hex28061914100c

44006655660044 has 96 divisors (see below), whose sum is σ = 101799270429696. Its totient is φ = 16115174369280.

The previous prime is 44006655660029. The next prime is 44006655660059.

44006655660044 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (44006655660029) and next prime (44006655660059).

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44006655659974 and 44006655660001.

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, 1765529 + ... + 9546224.

It is an arithmetic number, because the mean of its divisors is an integer number (1060409066976).

Almost surely, 244006655660044 is an apocalyptic number.

44006655660044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44006655660044 is an abundant number, since it is smaller than the sum of its proper divisors (57792614769652).

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

44006655660044 is a wasteful number, since it uses less digits than its factorization.

44006655660044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11312535 (or 11312533 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 50.

The spelling of 44006655660044 in words is "forty-four trillion, six billion, six hundred fifty-five million, six hundred sixty thousand, forty-four".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 308 374 476 743 748 1309 1486 2618 2972 5201 5236 8173 10402 12631 16346 20804 25262 32692 50524 57211 88417 114422 138941 176834 228844 277882 353668 555764 972587 1945174 3890348 11311753 22623506 45247012 79182271 124429283 158364542 192299801 248858566 316729084 384599602 497717132 769199204 871004981 1346098607 1742009962 2115297811 2692197214 3484019924 4230595622 5384394428 8404632479 8461191244 14807084677 16809264958 29614169354 33618529916 58832427353 59228338708 92450957269 117664854706 142878752143 184901914538 235329709412 285757504286 369803829076 571515008572 647156700883 1000151265001 1294313401766 1571666273573 2000302530002 2588626803532 3143332547146 4000605060004 6286665094292 11001663915011 22003327830022 44006655660044