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141620147253 = 33132411794229
BaseRepresentation
bin1000001111100100110…
…1111111010000110101
3111112112202021212222000
42003321031333100311
54310014224203003
6145020455125513
713142323250454
oct2037115772065
9445482255860
10141620147253
1155073976812
1223544373899
131047c430200
146bd6888b9b
153a3d0a01a3
hex20f937f435

141620147253 has 96 divisors (see below), whose sum is σ = 234084816000. Its totient is φ = 84530234880.

The previous prime is 141620147243. The next prime is 141620147321. The reversal of 141620147253 is 352741026141.

141620147253 is a `hidden beast` number, since 1 + 4 + 1 + 620 + 1 + 4 + 7 + 25 + 3 = 666.

It is not a de Polignac number, because 141620147253 - 29 = 141620146741 is a prime.

It is a super-2 number, since 2×1416201472532 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141620147213) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33485743 + ... + 33489971.

It is an arithmetic number, because the mean of its divisors is an integer number (2438383500).

Almost surely, 2141620147253 is an apocalyptic number.

141620147253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

141620147253 is a deficient number, since it is larger than the sum of its proper divisors (92464668747).

141620147253 is a wasteful number, since it uses less digits than its factorization.

141620147253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4484 (or 4465 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 141620147253 in words is "one hundred forty-one billion, six hundred twenty million, one hundred forty-seven thousand, two hundred fifty-three".

Divisors: 1 3 9 13 27 39 41 117 123 169 179 351 369 507 533 537 1107 1521 1599 1611 2327 4229 4563 4797 4833 6929 6981 7339 12687 14391 20787 20943 22017 30251 38061 54977 62361 62829 66051 90753 95407 114183 164931 173389 187083 198153 272259 286221 494793 520167 714701 756991 816777 858663 1240291 1484379 1560501 2144103 2254057 2270973 2575989 3720873 4681503 6432309 6762171 6812919 9840883 11162619 19296927 20286513 20438757 29302741 29522649 31036631 33487857 60859539 87908223 88567947 93109893 127931479 263724669 265703841 279329679 383794437 403476203 791174007 837989037 1151383311 1210428609 3454149933 3631285827 5245190639 10893857481 15735571917 47206715751 141620147253