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40017426948 = 22344310128439
BaseRepresentation
bin100101010001001110…
…010111101000000100
310211021212211220210000
4211101032113220010
51123423430130243
630214520201300
72614445342142
oct452116275004
9124255756700
1040017426948
1115a75881184
127909909230
133a09874775
141d18a26592
1510932ca5d3
hex951397a04

40017426948 has 120 divisors (see below), whose sum is σ = 108109995840. Its totient is φ = 12899476800.

The previous prime is 40017426929. The next prime is 40017426983. The reversal of 40017426948 is 84962471004.

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, 1392913 + ... + 1421351.

It is an arithmetic number, because the mean of its divisors is an integer number (900916632).

Almost surely, 240017426948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40017426948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54054997920).

40017426948 is an abundant number, since it is smaller than the sum of its proper divisors (68092568892).

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

40017426948 is a wasteful number, since it uses less digits than its factorization.

40017426948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28599 (or 28588 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 40017426948 in words is "forty billion, seventeen million, four hundred twenty-six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 101 108 129 162 172 202 258 303 324 387 404 516 606 774 909 1161 1212 1548 1818 2322 2727 3483 3636 4343 4644 5454 6966 8181 8686 10908 13029 13932 16362 17372 26058 28439 32724 39087 52116 56878 78174 85317 113756 117261 156348 170634 234522 255951 341268 351783 469044 511902 703566 767853 1023804 1222877 1407132 1535706 2303559 2445754 2872339 3071412 3668631 4607118 4891508 5744678 7337262 8617017 9214236 11005893 11489356 14674524 17234034 22011786 25851051 33017679 34468068 44023572 51702102 66035358 77553153 99053037 103404204 123510577 132070716 155106306 198106074 232659459 247021154 310212612 370531731 396212148 465318918 494042308 741063462 930637836 1111595193 1482126924 2223190386 3334785579 4446380772 6669571158 10004356737 13339142316 20008713474 40017426948