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40100430040 = 23511108783843
BaseRepresentation
bin100101010110001011…
…000000000011011000
310211111200000220121121
4211112023000003120
51124111202230130
630231043215024
72616504013516
oct452613000330
9124450026547
1040100430040
1116008713680
127931677474
133a20b16a18
141d25a714b6
15109a723d7a
hex9562c00d8

40100430040 has 64 divisors (see below), whose sum is σ = 98520053760. Its totient is φ = 14568385920.

The previous prime is 40100430037. The next prime is 40100430049. The reversal of 40100430040 is 4003400104.

It is a junction number, because it is equal to n+sod(n) for n = 40100429996 and 40100430023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40100430049) by changing a digit.

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, 436359 + ... + 520201.

It is an arithmetic number, because the mean of its divisors is an integer number (1539375840).

Almost surely, 240100430040 is an apocalyptic number.

40100430040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40100430040 is an abundant number, since it is smaller than the sum of its proper divisors (58419623720).

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

40100430040 is a wasteful number, since it uses less digits than its factorization.

40100430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84952 (or 84948 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 40100430040 its reverse (4003400104), we get a palindrome (44103830144).

The spelling of 40100430040 in words is "forty billion, one hundred million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1087 2174 4348 5435 8696 10870 11957 21740 23914 43480 47828 59785 83843 95656 119570 167686 239140 335372 419215 478280 670744 838430 922273 1676860 1844546 3353720 3689092 4611365 7378184 9222730 18445460 36890920 91137341 182274682 364549364 455686705 729098728 911373410 1002510751 1822746820 2005021502 3645493640 4010043004 5012553755 8020086008 10025107510 20050215020 40100430040