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141161344065 = 32574350320719
BaseRepresentation
bin1000001101110111011…
…1110010110001000001
3111111100202222021022100
42003131313302301001
54303044301002230
6144503145301013
713125052425030
oct2033567626101
9444322867270
10141161344065
1154958998125
1223436794769
1310408370631
146b91978717
153a12b73660
hex20dddf2c41

141161344065 has 96 divisors (see below), whose sum is σ = 286719713280. Its totient is φ = 62901836928.

The previous prime is 141161344063. The next prime is 141161344069. The reversal of 141161344065 is 560443161141.

141161344065 is a `hidden beast` number, since 1 + 4 + 116 + 134 + 406 + 5 = 666.

141161344065 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 141161344065 - 21 = 141161344063 is a prime.

It is not an unprimeable number, because it can be changed into a prime (141161344061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6802776 + ... + 6823494.

It is an arithmetic number, because the mean of its divisors is an integer number (2986663680).

Almost surely, 2141161344065 is an apocalyptic number.

141161344065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

141161344065 is an abundant number, since it is smaller than the sum of its proper divisors (145558369215).

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

141161344065 is a wasteful number, since it uses less digits than its factorization.

141161344065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21283 (or 21280 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 141161344065 in words is "one hundred forty-one billion, one hundred sixty-one million, three hundred forty-four thousand, sixty-five".

Divisors: 1 3 5 7 9 15 21 35 43 45 63 105 129 215 301 315 387 503 645 903 1505 1509 1935 2515 2709 3521 4515 4527 7545 10563 13545 17605 20719 21629 22635 31689 52815 62157 64887 103595 108145 145033 151403 158445 186471 194661 310785 324435 435099 454209 725165 757015 890917 932355 973305 1305297 1362627 2175495 2271045 2672751 4454585 6236419 6526485 6813135 8018253 10421657 13363755 18709257 31182095 31264971 40091265 52108285 56127771 72951599 93546285 93794913 156324855 218854797 280638855 364757995 448131251 468974565 656564391 1094273985 1344393753 2240656255 3136918757 3282821955 4033181259 6721968765 9410756271 15684593785 20165906295 28232268813 47053781355 141161344065