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141820254560 = 2559720534451
BaseRepresentation
bin1000010000010100100…
…1010101100101100000
3111120001200211101120202
42010011021111211200
54310421441121220
6145052404124332
713150303162625
oct2040511254540
9446050741522
10141820254560
1155166922356
122359b3966a8
13104b1a242ba
146c1529834c
153a5092b275
hex2105255960

141820254560 has 96 divisors (see below), whose sum is σ = 338745449952. Its totient is φ = 56103321600.

The previous prime is 141820254557. The next prime is 141820254599. The reversal of 141820254560 is 65452028141.

It is a happy number.

It is a super-2 number, since 2×1418202545602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31860335 + ... + 31864785.

It is an arithmetic number, because the mean of its divisors is an integer number (3528598437).

Almost surely, 2141820254560 is an apocalyptic number.

141820254560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141820254560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169372724976).

141820254560 is an abundant number, since it is smaller than the sum of its proper divisors (196925195392).

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

141820254560 is a wasteful number, since it uses less digits than its factorization.

141820254560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6616 (or 6608 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The spelling of 141820254560 in words is "one hundred forty-one billion, eight hundred twenty million, two hundred fifty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 160 194 388 485 776 970 1552 1940 2053 3104 3880 4106 4451 7760 8212 8902 10265 15520 16424 17804 20530 22255 32848 35608 41060 44510 65696 71216 82120 89020 142432 164240 178040 199141 328480 356080 398282 431747 712160 796564 863494 995705 1593128 1726988 1991410 2158735 3186256 3453976 3982820 4317470 6372512 6907952 7965640 8634940 9137903 13815904 15931280 17269880 18275806 31862560 34539760 36551612 45689515 69079520 73103224 91379030 146206448 182758060 292412896 365516120 731032240 886376591 1462064480 1772753182 3545506364 4431882955 7091012728 8863765910 14182025456 17727531820 28364050912 35455063640 70910127280 141820254560