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40102112440 = 23513617124991
BaseRepresentation
bin100101010110010001…
…011010110010111000
310211111210012101102201
4211112101122302320
51124112120044230
630231143235544
72616524221465
oct452621326270
9124453171381
1040102112440
1116009662695
127932148bb4
133a21285720
141d25d8c66c
15109a9575ca
hex95645acb8

40102112440 has 64 divisors (see below), whose sum is σ = 97328770560. Its totient is φ = 14782817280.

The previous prime is 40102112411. The next prime is 40102112471. The reversal of 40102112440 is 4421120104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258345 + ... + 383335.

It is an arithmetic number, because the mean of its divisors is an integer number (1520762040).

Almost surely, 240102112440 is an apocalyptic number.

40102112440 is a gapful number since it is divisible by the number (40) 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 40102112440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48664385280).

40102112440 is an abundant number, since it is smaller than the sum of its proper divisors (57226658120).

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

40102112440 is a wasteful number, since it uses less digits than its factorization.

40102112440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125632 (or 125628 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 40102112440 its reverse (4421120104), we get a palindrome (44523232544).

The spelling of 40102112440 in words is "forty billion, one hundred two million, one hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 617 1234 2468 3085 4936 6170 8021 12340 16042 24680 32084 40105 64168 80210 124991 160420 249982 320840 499964 624955 999928 1249910 1624883 2499820 3249766 4999640 6499532 8124415 12999064 16248830 32497660 64995320 77119447 154238894 308477788 385597235 616955576 771194470 1002552811 1542388940 2005105622 3084777880 4010211244 5012764055 8020422488 10025528110 20051056220 40102112440