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14256153653101 = 192269146805689
BaseRepresentation
bin1100111101110100010011…
…1110010110111101101101
31212110212121212012202222121
43033131010332112331231
53332033100313344401
650153104144512541
73000654530441653
oct317350476267555
955425555182877
1014256153653101
1145a7001097558
121722b3101b751
137c5470b89499
14374004248dd3
1519ac7e0a1ca1
hexcf744f96f6d

14256153653101 has 12 divisors (see below), whose sum is σ = 15101901330300. Its totient is φ = 13455622139328.

The previous prime is 14256153653051. The next prime is 14256153653179. The reversal of 14256153653101 is 10135635165241.

It can be written as a sum of positive squares in 2 ways, for example, as 1863634522500 + 12392519130601 = 1365150^2 + 3520301^2 .

It is not a de Polignac number, because 14256153653101 - 221 = 14256151555949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14256153654101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73305736 + ... + 73499953.

It is an arithmetic number, because the mean of its divisors is an integer number (1258491777525).

Almost surely, 214256153653101 is an apocalyptic number.

It is an amenable number.

14256153653101 is a deficient number, since it is larger than the sum of its proper divisors (845747677199).

14256153653101 is a wasteful number, since it uses less digits than its factorization.

14256153653101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146805996 (or 146805977 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 43.

The spelling of 14256153653101 in words is "fourteen trillion, two hundred fifty-six billion, one hundred fifty-three million, six hundred fifty-three thousand, one hundred one".

Divisors: 1 19 269 361 5111 97109 146805689 2789308091 39490730341 52996853729 750323876479 14256153653101