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401042110132044 = 22343190434415407
BaseRepresentation
bin101101100101111101110010…
…0100000111010111101001100
31221120222020210012022220010000
41123023323210200322331030
5410031133220143211134
63540540111343444300
7150321223230615543
oct13313734440727514
91846866705286100
10401042110132044
1110686a005029007
1238b907932b6690
13142a1154ac3694
1471067825c515a
15315705b745e99
hex16cbee483af4c

401042110132044 has 120 divisors (see below), whose sum is σ = 1082342675499008. Its totient is φ = 129354087408480.

The previous prime is 401042110132039. The next prime is 401042110132099. The reversal of 401042110132044 is 440231011240104.

401042110132044 is a `hidden beast` number, since 4 + 0 + 10 + 421 + 10 + 13 + 204 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 401042110131999 and 401042110132017.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88620189 + ... + 93035595.

Almost surely, 2401042110132044 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 401042110132044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541171337749504).

401042110132044 is an abundant number, since it is smaller than the sum of its proper divisors (681300565366964).

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

401042110132044 is a wasteful number, since it uses less digits than its factorization.

401042110132044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424497 (or 4424486 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 401042110132044 its reverse (440231011240104), we get a palindrome (841273121372148).

The spelling of 401042110132044 in words is "four hundred one trillion, forty-two billion, one hundred ten million, one hundred thirty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 1116 1674 2511 3348 5022 9043 10044 18086 27129 36172 54258 81387 108516 162774 244161 280333 325548 488322 560666 732483 840999 976644 1121332 1464966 1681998 2522997 2929932 3363996 4415407 5045994 7568991 8830814 10091988 13246221 15137982 17661628 22706973 26492442 30275964 39738663 45413946 52984884 79477326 90827892 119215989 136877617 158954652 238431978 273755234 357647967 410632851 476863956 547510468 715295934 821265702 1231898553 1430591868 1642531404 2463797106 3695695659 4927594212 7391391318 11087086977 14782782636 22174173954 39928525501 44348347908 79857051002 119785576503 159714102004 239571153006 359356729509 479142306012 718713459018 1078070188527 1237784290531 1437426918036 2156140377054 2475568581062 3234210565581 3713352871593 4312280754108 4951137162124 6468421131162 7426705743186 11140058614779 12936842262324 14853411486372 22280117229558 33420175844337 44560234459116 66840351688674 100260527533011 133680703377348 200521055066022 401042110132044