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8440444080040 = 2357131230110253
BaseRepresentation
bin111101011010011000110…
…1010111100111110101000
31002212220021001121220122111
41322310301222330332220
52101242012141030130
625541253025132104
71530542033633110
oct172646152747650
932786231556574
108440444080040
112764632706575
12b4399378a034
13492c132bacbb
1421273bdaa040
15e984e31502a
hex7ad31abcfa8

8440444080040 has 64 divisors (see below), whose sum is σ = 21869678540160. Its totient is φ = 2871775944960.

The previous prime is 8440444080023. The next prime is 8440444080067. The reversal of 8440444080040 is 400804440448.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 8440444079975 and 8440444080002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115018447 + ... + 115091806.

It is an arithmetic number, because the mean of its divisors is an integer number (341713727190).

Almost surely, 28440444080040 is an apocalyptic number.

It is an amenable number.

8440444080040 is an abundant number, since it is smaller than the sum of its proper divisors (13429234460120).

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

8440444080040 is a wasteful number, since it uses less digits than its factorization.

8440444080040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230110402 (or 230110398 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 8440444080040 in words is "eight trillion, four hundred forty billion, four hundred forty-four million, eighty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 131 140 262 280 524 655 917 1048 1310 1834 2620 3668 4585 5240 7336 9170 18340 36680 230110253 460220506 920441012 1150551265 1610771771 1840882024 2301102530 3221543542 4602205060 6443087084 8053858855 9204410120 12886174168 16107717710 30144443143 32215435420 60288886286 64430870840 120577772572 150722215715 211011102001 241155545144 301444431430 422022204002 602888862860 844044408004 1055055510005 1205777725720 1688088816008 2110111020010 4220222040020 8440444080040