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40053165408 = 2532373758743
BaseRepresentation
bin100101010011010110…
…101100110101100000
310211101101002121201200
4211103112230311200
51124012102243113
630222234201200
72615361200664
oct452326546540
9124341077650
1040053165408
1115a93a70aa3
127919883200
133a140a8699
141d1d68a8a4
1510964d9873
hex9535acd60

40053165408 has 72 divisors (see below), whose sum is σ = 116979630768. Its totient is φ = 12990212352.

The previous prime is 40053165389. The next prime is 40053165419. The reversal of 40053165408 is 80456135004.

It is a happy number.

40053165408 is a `hidden beast` number, since 40 + 0 + 53 + 165 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1868716 + ... + 1890027.

It is an arithmetic number, because the mean of its divisors is an integer number (1624717094).

Almost surely, 240053165408 is an apocalyptic number.

40053165408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40053165408 is an abundant number, since it is smaller than the sum of its proper divisors (76926465360).

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

40053165408 is a wasteful number, since it uses less digits than its factorization.

40053165408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758796 (or 3758785 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 40053165408 in words is "forty billion, fifty-three million, one hundred sixty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 3758743 7517486 11276229 15034972 22552458 30069944 33828687 45104916 60139888 67657374 90209832 120279776 135314748 139073491 180419664 270629496 278146982 360839328 417220473 541258992 556293964 834440946 1082517984 1112587928 1251661419 1668881892 2225175856 2503322838 3337763784 4450351712 5006645676 6675527568 10013291352 13351055136 20026582704 40053165408