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40404486288 = 2434389219953
BaseRepresentation
bin100101101000010010…
…111000100010010000
310212021212011120101010
4211220102320202100
51130222022030123
630321144210520
72630155316055
oct455022704220
9125255146333
1040404486288
1116154308631
1279b7469a40
133a6bb04b6a
141d541bd02c
1510b7284993
hex9684b8890

40404486288 has 80 divisors (see below), whose sum is σ = 108006212160. Its totient is φ = 13007081472.

The previous prime is 40404486277. The next prime is 40404486293. The reversal of 40404486288 is 88268440404.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73720 + ... + 293672.

It is an arithmetic number, because the mean of its divisors is an integer number (1350077652).

Almost surely, 240404486288 is an apocalyptic number.

40404486288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40404486288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54003106080).

40404486288 is an abundant number, since it is smaller than the sum of its proper divisors (67601725872).

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

40404486288 is a wasteful number, since it uses less digits than its factorization.

40404486288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220096 (or 220090 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 48.

The spelling of 40404486288 in words is "forty billion, four hundred four million, four hundred eighty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 89 129 172 178 258 267 344 356 516 534 688 712 1032 1068 1424 2064 2136 3827 4272 7654 11481 15308 22962 30616 45924 61232 91848 183696 219953 439906 659859 879812 1319718 1759624 2639436 3519248 5278872 9457979 10557744 18915958 19575817 28373937 37831916 39151634 56747874 58727451 75663832 78303268 113495748 117454902 151327664 156606536 226991496 234909804 313213072 453982992 469819608 841760131 939639216 1683520262 2525280393 3367040524 5050560786 6734081048 10101121572 13468162096 20202243144 40404486288