Search a number
-
+
41400055512 = 23329749112073
BaseRepresentation
bin100110100011101000…
…101011011011011000
310221212020111201121100
4212203220223123120
51134241403234022
631004030511400
72663634444204
oct464350533330
9127766451540
1041400055512
1116615285512
128034965560
133b9a15038a
14200a4d5b04
15112488d1ac
hex9a3a2b6d8

41400055512 has 96 divisors (see below), whose sum is σ = 113521196880. Its totient is φ = 13628805120.

The previous prime is 41400055493. The next prime is 41400055523. The reversal of 41400055512 is 21555000414.

41400055512 is a `hidden beast` number, since 4 + 140 + 0 + 0 + 5 + 5 + 512 = 666.

41400055512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3423108 + ... + 3435180.

Almost surely, 241400055512 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 41400055512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56760598440).

41400055512 is an abundant number, since it is smaller than the sum of its proper divisors (72121141368).

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

41400055512 is a wasteful number, since it uses less digits than its factorization.

41400055512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12673 (or 12666 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 41400055512 its reverse (21555000414), we get a palindrome (62955055926).

The spelling of 41400055512 in words is "forty-one billion, four hundred million, fifty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 491 582 776 873 982 1164 1473 1746 1964 2328 2946 3492 3928 4419 5892 6984 8838 11784 12073 17676 24146 35352 36219 47627 48292 72438 95254 96584 108657 142881 144876 190508 217314 285762 289752 381016 428643 434628 571524 857286 869256 1143048 1171081 1714572 2342162 3429144 3513243 4684324 5927843 7026486 9368648 10539729 11855686 14052972 17783529 21079458 23711372 28105944 35567058 42158916 47422744 53350587 71134116 84317832 106701174 142268232 213402348 426804696 575000771 1150001542 1725002313 2300003084 3450004626 4600006168 5175006939 6900009252 10350013878 13800018504 20700027756 41400055512