Search a number
-
+
400420242400056 = 23323136772111307
BaseRepresentation
bin101101100001011100001101…
…0010011110010001100111000
31221111202210122011110221202020
41123002320122103302030320
5404440441124023300211
63535342304144034440
7150225256613250054
oct13302703223621470
91844683564427666
10400420242400056
1110664a2a899a83a
1238ab0161002a20
131425760b8450b8
1470c462bd90c64
153145cb1bc5306
hex16c2e1a4f2338

400420242400056 has 32 divisors (see below), whose sum is σ = 1001054946560640. Its totient is φ = 133472835391968.

The previous prime is 400420242400007. The next prime is 400420242400069. The reversal of 400420242400056 is 650004242024004.

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 7 ways as a sum of consecutive naturals, for example, 30502846 + ... + 41608461.

It is an arithmetic number, because the mean of its divisors is an integer number (31282967080020).

Almost surely, 2400420242400056 is an apocalyptic number.

It is an amenable number.

400420242400056 is an abundant number, since it is smaller than the sum of its proper divisors (600634704160584).

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

400420242400056 is a wasteful number, since it uses less digits than its factorization.

400420242400056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72342683 (or 72342679 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

The spelling of 400420242400056 in words is "four hundred trillion, four hundred twenty billion, two hundred forty-two million, four hundred thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 24 231367 462734 694101 925468 1388202 1850936 2776404 5552808 72111307 144222614 216333921 288445228 432667842 576890456 865335684 1730671368 16684176766669 33368353533338 50052530300007 66736707066676 100105060600014 133473414133352 200210121200028 400420242400056