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1141475040 = 25325792691
BaseRepresentation
bin100010000001001…
…1000011011100000
32221112212221101100
41010002120123200
54314204200130
6305133434400
740200243366
oct10402303340
92845787340
101141475040
11536373102
1227a33ba00
13152642a24
14ab857636
156a329c60
hex440986e0

1141475040 has 72 divisors (see below), whose sum is σ = 3895288488. Its totient is φ = 304392960.

The previous prime is 1141475039. The next prime is 1141475057. The reversal of 1141475040 is 405741411.

1141475040 is a `hidden beast` number, since 1 + 14 + 147 + 504 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1141474995 and 1141475013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 394906 + ... + 397785.

It is an arithmetic number, because the mean of its divisors is an integer number (54101229).

Almost surely, 21141475040 is an apocalyptic number.

1141475040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141475040 is an abundant number, since it is smaller than the sum of its proper divisors (2753813448).

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

1141475040 is a wasteful number, since it uses less digits than its factorization.

1141475040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792712 (or 792701 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1141475040 is about 33785.7224282684. The cubic root of 1141475040 is about 1045.0942857321.

The spelling of 1141475040 in words is "one billion, one hundred forty-one million, four hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 792691 1585382 2378073 3170764 3963455 4756146 6341528 7134219 7926910 9512292 11890365 12683056 14268438 15853820 19024584 23780730 25366112 28536876 31707640 35671095 38049168 47561460 57073752 63415280 71342190 76098336 95122920 114147504 126830560 142684380 190245840 228295008 285368760 380491680 570737520 1141475040