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20040229440 = 263557113347
BaseRepresentation
bin10010101010011111…
…011010001001000000
31220201122020010200000
4102222133122021000
5312020244320230
613112323400000
71306421065620
oct225237321100
956648203600
1020040229440
118554206aa0
123a73523000
131b74b21a3a
14d81798880
157c4565b60
hex4aa7da240

20040229440 has 672 divisors, whose sum is σ = 89148294144. Its totient is φ = 4162959360.

The previous prime is 20040229427. The next prime is 20040229453. The reversal of 20040229440 is 4492204002.

It is an interprime number because it is at equal distance from previous prime (20040229427) and next prime (20040229453).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×200402294402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5985847 + ... + 5989193.

It is an arithmetic number, because the mean of its divisors is an integer number (132661152).

Almost surely, 220040229440 is an apocalyptic number.

20040229440 is a gapful number since it is divisible by the number (20) 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 20040229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44574147072).

20040229440 is an abundant number, since it is smaller than the sum of its proper divisors (69108064704).

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

20040229440 is a wasteful number, since it uses less digits than its factorization.

20040229440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 20040229440 in words is "twenty billion, forty million, two hundred twenty-nine thousand, four hundred forty".