Search a number
-
+
144746237752656 = 24310399129543039
BaseRepresentation
bin100000111010010101011100…
…000101010111010101010000
3200222111121100011220211202220
4200322111130011113111100
5122433010243331041111
61231503300441541040
742326366464400301
oct4072253405272520
9628447304824686
10144746237752656
1142136597759431
121429895a1a4780
13629c686139307
1427a5a8071a7a8
1511b02ad983e06
hex83a55c157550

144746237752656 has 80 divisors (see below), whose sum is σ = 377939147489280. Its totient is φ = 47732095635840.

The previous prime is 144746237752643. The next prime is 144746237752663. The reversal of 144746237752656 is 656257732647441.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9872016 + ... + 19671023.

It is an arithmetic number, because the mean of its divisors is an integer number (4724239343616).

Almost surely, 2144746237752656 is an apocalyptic number.

144746237752656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144746237752656 is an abundant number, since it is smaller than the sum of its proper divisors (233192909736624).

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

144746237752656 is a wasteful number, since it uses less digits than its factorization.

144746237752656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29544144 (or 29544138 counting only the distinct ones).

The product of its digits is 1422489600, while the sum is 69.

The spelling of 144746237752656 in words is "one hundred forty-four trillion, seven hundred forty-six billion, two hundred thirty-seven million, seven hundred fifty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 824 991 1236 1648 1982 2472 2973 3964 4944 5946 7928 11892 15856 23784 47568 102073 204146 306219 408292 612438 816584 1224876 1633168 2449752 4899504 29543039 59086078 88629117 118172156 177258234 236344312 354516468 472688624 709032936 1418065872 3042933017 6085866034 9128799051 12171732068 18257598102 24343464136 29277151649 36515196204 48686928272 58554303298 73030392408 87831454947 117108606596 146060784816 175662909894 234217213192 351325819788 468434426384 702651639576 1405303279152 3015546619847 6031093239694 9046639859541 12062186479388 18093279719082 24124372958776 36186559438164 48248745917552 72373118876328 144746237752656