Search a number
-
+
9141561744 = 2437151180179
BaseRepresentation
bin10001000001110000…
…10010100110010000
3212121002110110012220
420200320102212100
5122210214433434
64111035221040
7442351664340
oct104070224620
925532413186
109141561744
11397119a707
1219315a7780
13b28bb6443
1462a144d20
15387840d49
hex220e12990

9141561744 has 80 divisors (see below), whose sum is σ = 27168261120. Its totient is φ = 2594563200.

The previous prime is 9141561721. The next prime is 9141561749. The reversal of 9141561744 is 4471651419.

It is a super-2 number, since 2×91415617442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 9141561696 and 9141561705.

It is not an unprimeable number, because it can be changed into a prime (9141561749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39354 + ... + 140825.

It is an arithmetic number, because the mean of its divisors is an integer number (339603264).

Almost surely, 29141561744 is an apocalyptic number.

It is an amenable number.

9141561744 is an abundant number, since it is smaller than the sum of its proper divisors (18026699376).

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

9141561744 is a wasteful number, since it uses less digits than its factorization.

9141561744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180348 (or 180342 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 9141561744 is about 95611.5147040355. The cubic root of 9141561744 is about 2090.9330742087.

The spelling of 9141561744 in words is "nine billion, one hundred forty-one million, five hundred sixty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 151 168 302 336 453 604 906 1057 1208 1812 2114 2416 3171 3624 4228 6342 7248 8456 12684 16912 25368 50736 180179 360358 540537 720716 1081074 1261253 1441432 2162148 2522506 2882864 3783759 4324296 5045012 7567518 8648592 10090024 15135036 20180048 27207029 30270072 54414058 60540144 81621087 108828116 163242174 190449203 217656232 326484348 380898406 435312464 571347609 652968696 761796812 1142695218 1305937392 1523593624 2285390436 3047187248 4570780872 9141561744