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141054604656 = 24372414094259
BaseRepresentation
bin1000001101011110000…
…0100111010101110000
3111111002100010100100220
42003113200213111300
54302334434322111
6144444413413040
713122315233310
oct2032740472560
9444070110326
10141054604656
1154903713239
1223406a9a180
13103bc20a414
146b81711440
153a085dbe06
hex20d7827570

141054604656 has 160 divisors (see below), whose sum is σ = 419295782400. Its totient is φ = 40026562560.

The previous prime is 141054604637. The next prime is 141054604661. The reversal of 141054604656 is 656406450141.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33117055 + ... + 33121313.

It is an arithmetic number, because the mean of its divisors is an integer number (2620598640).

Almost surely, 2141054604656 is an apocalyptic number.

141054604656 is a gapful number since it is divisible by the number (16) 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 141054604656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209647891200).

141054604656 is an abundant number, since it is smaller than the sum of its proper divisors (278241177744).

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

141054604656 is a wasteful number, since it uses less digits than its factorization.

141054604656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4927 (or 4921 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 141054604656 in words is "one hundred forty-one billion, fifty-four million, six hundred four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 241 336 409 482 723 818 964 1227 1446 1636 1687 1928 2454 2863 2892 3272 3374 3856 4259 4908 5061 5726 5784 6544 6748 8518 8589 9816 10122 11452 11568 12777 13496 17036 17178 19632 20244 22904 25554 26992 29813 34072 34356 40488 45808 51108 59626 68144 68712 80976 89439 98569 102216 119252 137424 178878 197138 204432 238504 295707 357756 394276 477008 591414 689983 715512 788552 1026419 1182828 1379966 1431024 1577104 1741931 2052838 2069949 2365656 2759932 3079257 3483862 4105676 4139898 4731312 5225793 5519864 6158514 6967724 7184933 8211352 8279796 10451586 11039728 12193517 12317028 13935448 14369866 16422704 16559592 20903172 21554799 24387034 24634056 27870896 28739732 33119184 36580551 41806344 43109598 48774068 49268112 57479464 73161102 83612688 86219196 97548136 114958928 146322204 172438392 195096272 292644408 344876784 419805371 585288816 839610742 1259416113 1679221484 2518832226 2938637597 3358442968 5037664452 5877275194 6716885936 8815912791 10075328904 11754550388 17631825582 20150657808 23509100776 35263651164 47018201552 70527302328 141054604656