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401558626140 = 2235723310214019
BaseRepresentation
bin1011101011111101100…
…00100101111101011100
31102101111022101210002220
411311332300211331130
523034343002014030
6504250134545340
741003666001360
oct5657660457534
91371438353086
10401558626140
11145333415281
12659a9208250
132bb36519129
14156151a72a0
15a6a3673a10
hex5d7ec25f5c

401558626140 has 192 divisors, whose sum is σ = 1292087946240. Its totient is φ = 91278673920.

The previous prime is 401558626069. The next prime is 401558626207. The reversal of 401558626140 is 41626855104.

It is a super-2 number, since 2×4015586261402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 401558626092 and 401558626101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99913051 + ... + 99917069.

It is an arithmetic number, because the mean of its divisors is an integer number (6729624720).

Almost surely, 2401558626140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401558626140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646043973120).

401558626140 is an abundant number, since it is smaller than the sum of its proper divisors (890529320100).

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

401558626140 is a wasteful number, since it uses less digits than its factorization.

401558626140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5292 (or 5290 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 401558626140 in words is "four hundred one billion, five hundred fifty-eight million, six hundred twenty-six thousand, one hundred forty".