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40518011088 = 24322312233699
BaseRepresentation
bin100101101111000011…
…111100100011010000
310212120202210020010100
4211233003330203100
51130440102323323
630340321332400
72633034261132
oct455703744320
9125522706110
1040518011088
11162023a7485
127a29497100
133a894a26b9
141d652d1052
1510c220b943
hex96f0fc8d0

40518011088 has 60 divisors (see below), whose sum is σ = 118324346400. Its totient is φ = 12918785088.

The previous prime is 40518011087. The next prime is 40518011173. The reversal of 40518011088 is 88011081504.

It is a happy number.

40518011088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40518011087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6113538 + ... + 6120161.

It is an arithmetic number, because the mean of its divisors is an integer number (1972072440).

Almost surely, 240518011088 is an apocalyptic number.

40518011088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40518011088 is an abundant number, since it is smaller than the sum of its proper divisors (77806335312).

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

40518011088 is a wasteful number, since it uses less digits than its factorization.

40518011088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12233736 (or 12233727 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The spelling of 40518011088 in words is "forty billion, five hundred eighteen million, eleven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 12233699 24467398 36701097 48934796 73402194 97869592 110103291 146804388 195739184 220206582 281375077 293608776 440413164 562750154 587217552 844125231 880826328 1125500308 1688250462 1761652656 2251000616 2532375693 3376500924 4502001232 5064751386 6753001848 10129502772 13506003696 20259005544 40518011088