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34040400322044 = 22317487342638003
BaseRepresentation
bin1111011110101101001011…
…11110000001110111111100
311110112020020000201110112010
413233112211332001313330
513430204214440301134
6200221535524211220
710112223565435644
oct757264576016774
9143466200643463
1034040400322044
11a9344a8606626
123999311239b10
1315cbcc421228c
148597c8103524
153e0707994ce9
hex1ef5a5f81dfc

34040400322044 has 48 divisors (see below), whose sum is σ = 84272502359808. Its totient is φ = 10657412414208.

The previous prime is 34040400322021. The next prime is 34040400322067. The reversal of 34040400322044 is 44022300404043.

It is an interprime number because it is at equal distance from previous prime (34040400322021) and next prime (34040400322067).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171219654 + ... + 171418349.

It is an arithmetic number, because the mean of its divisors is an integer number (1755677132496).

Almost surely, 234040400322044 is an apocalyptic number.

34040400322044 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34040400322044 is an abundant number, since it is smaller than the sum of its proper divisors (50232102037764).

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

34040400322044 is a wasteful number, since it uses less digits than its factorization.

34040400322044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342638514 (or 342638512 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 34040400322044 its reverse (44022300404043), we get a palindrome (78062700726087).

The spelling of 34040400322044 in words is "thirty-four trillion, forty billion, four hundred million, three hundred twenty-two thousand, forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 487 974 1461 1948 2922 5844 8279 16558 24837 33116 49674 99348 342638003 685276006 1027914009 1370552012 2055828018 4111656036 5824846051 11649692102 17474538153 23299384204 34949076306 69898152612 166864707461 333729414922 500594122383 667458829844 1001188244766 2002376489532 2836700026837 5673400053674 8510100080511 11346800107348 17020200161022 34040400322044