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141504045345 = 325131409171673
BaseRepresentation
bin1000001111001001001…
…1000110000100100001
3111112020122211022002100
42003302103012010201
54304300013422340
6145001150441013
713136413353105
oct2036223060441
9445218738070
10141504045345
1155014387723
1223511503169
131046136c660
146bc52a5905
153a32cb9830
hex20f24c6121

141504045345 has 48 divisors (see below), whose sum is σ = 264329891280. Its totient is φ = 69613682688.

The previous prime is 141504045337. The next prime is 141504045401. The reversal of 141504045345 is 543540405141.

141504045345 is a `hidden beast` number, since 14 + 150 + 4 + 0 + 453 + 45 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 41847657489 + 99656387856 = 204567^2 + 315684^2 .

It is not a de Polignac number, because 141504045345 - 23 = 141504045337 is a prime.

It is a super-3 number, since 3×1415040453453 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738429 + ... + 910101.

It is an arithmetic number, because the mean of its divisors is an integer number (5506872735).

Almost surely, 2141504045345 is an apocalyptic number.

141504045345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

141504045345 is a deficient number, since it is larger than the sum of its proper divisors (122825845935).

141504045345 is a wasteful number, since it uses less digits than its factorization.

141504045345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173106 (or 173103 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 141504045345 in words is "one hundred forty-one billion, five hundred four million, forty-five thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 1409 4227 7045 12681 18317 21135 54951 63405 91585 164853 171673 274755 515019 824265 858365 1545057 2231749 2575095 6695247 7725285 11158745 20085741 33476235 100428705 241887257 725661771 1209436285 2176985313 3144534341 3628308855 9433603023 10884926565 15722671705 28300809069 47168015115 141504045345