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38401373622240 = 2533517598862619
BaseRepresentation
bin10001011101101000001000…
…01110111100111111100000
312000222010122202100202211000
420232310010032330333200
520013132003121402430
6213401203020552000
711042256560041146
oct1056640416747740
9160863582322730
1038401373622240
1111265a27319382
12438253a3b2600
131857307115b65
1496a8ca3d5596
15468d9401be60
hex22ed043bcfe0

38401373622240 has 384 divisors, whose sum is σ = 144723039552000. Its totient is φ = 9474634948608.

The previous prime is 38401373622239. The next prime is 38401373622347. The reversal of 38401373622240 is 4222637310483.

38401373622240 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 13 + 7 + 3 + 622 + 2 + 4 + 0 = 666.

38401373622240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98350 + ... + 8764269.

It is an arithmetic number, because the mean of its divisors is an integer number (376882915500).

Almost surely, 238401373622240 is an apocalyptic number.

38401373622240 is a gapful number since it is divisible by the number (30) 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 38401373622240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72361519776000).

38401373622240 is an abundant number, since it is smaller than the sum of its proper divisors (106321665929760).

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

38401373622240 is a wasteful number, since it uses less digits than its factorization.

38401373622240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8862719 (or 8862705 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 38401373622240 in words is "thirty-eight trillion, four hundred one billion, three hundred seventy-three million, six hundred twenty-two thousand, two hundred forty".