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400524661365052 = 227231316449973607
BaseRepresentation
bin101101100010001100110101…
…0001010100001100100111100
31221112010210011022011222101011
41123010121222022201210330
5404444144001302140202
63535502253404525004
7150235644325642330
oct13304315212414474
91845123138158334
10400524661365052
1110668a611758724
1238b08442850764
131426440c9c7b13
1470c96d5c657c0
153148873d42bd7
hex16c466a2a193c

400524661365052 has 96 divisors (see below), whose sum is σ = 842282800128000. Its totient is φ = 162932133524160.

The previous prime is 400524661365041. The next prime is 400524661365107. The reversal of 400524661365052 is 250563166425004.

It is a junction number, because it is equal to n+sod(n) for n = 400524661364987 and 400524661365005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5441356833 + ... + 5441430439.

It is an arithmetic number, because the mean of its divisors is an integer number (8773779168000).

Almost surely, 2400524661365052 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 400524661365052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421141400064000).

400524661365052 is an abundant number, since it is smaller than the sum of its proper divisors (441758138762948).

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

400524661365052 is a wasteful number, since it uses less digits than its factorization.

400524661365052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138271 (or 138269 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 49.

The spelling of 400524661365052 in words is "four hundred trillion, five hundred twenty-four billion, six hundred sixty-one million, three hundred sixty-five thousand, fifty-two".

Divisors: 1 2 4 7 14 23 28 46 92 131 161 262 322 524 644 917 1834 3013 3668 6026 12052 21091 42182 64499 73607 84364 128998 147214 257996 294428 451493 515249 902986 1030498 1483477 1692961 1805972 2060996 2966954 3385922 5933908 6771844 8449369 9642517 10384339 11850727 16898738 19285034 20768678 23701454 33797476 38570068 41537356 47402908 59145583 67497619 118291166 134995238 194335487 221777891 236582332 269990476 388670974 443555782 777341948 887111564 1360348409 1552445237 2720696818 3104890474 4747577893 5441393636 6209780948 9495155786 18990311572 33233045251 66466090502 109194291539 132932181004 218388583078 436777166156 621932703983 764360040773 1243865407966 1528720081546 2487730815932 3057440163092 4353528927881 8707057855762 14304452191609 17414115711524 28608904383218 57217808766436 100131165341263 200262330682526 400524661365052