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401455252212 = 2237176733712451
BaseRepresentation
bin1011101011110001001…
…10010000001011110100
31102101020002212211201220
411311320212100023310
523034140021032322
6504232003150340
741001302224560
oct5657046201364
91371202784656
10401455252212
11145290029983
126597a6753b0
132bb1ac93a21
14156055786a0
15a69955455c
hex5d789902f4

401455252212 has 192 divisors, whose sum is σ = 1153945368576. Its totient is φ = 106019020800.

The previous prime is 401455252201. The next prime is 401455252259. The reversal of 401455252212 is 212252554104.

It is a super-2 number, since 2×4014552522122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32236587 + ... + 32249037.

It is an arithmetic number, because the mean of its divisors is an integer number (6010132128).

Almost surely, 2401455252212 is an apocalyptic number.

401455252212 is a gapful number since it is divisible by the number (42) 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 401455252212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576972684288).

401455252212 is an abundant number, since it is smaller than the sum of its proper divisors (752490116364).

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

401455252212 is a wasteful number, since it uses less digits than its factorization.

401455252212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12886 (or 12884 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The spelling of 401455252212 in words is "four hundred one billion, four hundred fifty-five million, two hundred fifty-two thousand, two hundred twelve".