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144817241690 = 25114353335741
BaseRepresentation
bin1000011011011111000…
…1111011111001011010
3111211210120012010001002
42012313301323321122
54333041203213230
6150310024025002
713314464146502
oct2066761737132
9454716163032
10144817241690
1156464615120
1224097002162
131086b8c2374
14701b318a02
153b78ac7545
hex21b7c7be5a

144817241690 has 64 divisors (see below), whose sum is σ = 291086877312. Its totient is φ = 51417542400.

The previous prime is 144817241651. The next prime is 144817241693. The reversal of 144817241690 is 96142718441.

It is a super-2 number, since 2×1448172416902 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (144817241693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25222220 + ... + 25227960.

It is an arithmetic number, because the mean of its divisors is an integer number (4548232458).

Almost surely, 2144817241690 is an apocalyptic number.

144817241690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144817241690 is an abundant number, since it is smaller than the sum of its proper divisors (146269635622).

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

144817241690 is a wasteful number, since it uses less digits than its factorization.

144817241690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11135.

The product of its (nonzero) digits is 387072, while the sum is 47.

The spelling of 144817241690 in words is "one hundred forty-four billion, eight hundred seventeen million, two hundred forty-one thousand, six hundred ninety".

Divisors: 1 2 5 10 11 22 43 55 86 110 215 430 473 946 2365 4730 5333 5741 10666 11482 26665 28705 53330 57410 58663 63151 117326 126302 229319 246863 293315 315755 458638 493726 586630 631510 1146595 1234315 2293190 2468630 2522509 2715493 5045018 5430986 12612545 13577465 25225090 27154930 30616753 61233506 153083765 306167530 336784283 673568566 1316520379 1683921415 2633040758 3367842830 6582601895 13165203790 14481724169 28963448338 72408620845 144817241690