Search a number
-
+
141009108756 = 223143315675233
BaseRepresentation
bin1000001101010011001…
…1000011111100010100
3111110222011111220201120
42003110303003330110
54302241312440011
6144440110323540
713121223435225
oct2032463037424
9443864456646
10141009108756
115488aa6951a
12233b37b95b0
13103b296b179
146b7966b24c
153a04601a06
hex20d4cc3f14

141009108756 has 48 divisors (see below), whose sum is σ = 329523930624. Its totient is φ = 46931291136.

The previous prime is 141009108743. The next prime is 141009108763. The reversal of 141009108756 is 657801900141.

It is a super-2 number, since 2×1410091087562 (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 26943516 + ... + 26948748.

It is an arithmetic number, because the mean of its divisors is an integer number (6865081888).

Almost surely, 2141009108756 is an apocalyptic number.

It is an amenable number.

141009108756 is an abundant number, since it is smaller than the sum of its proper divisors (188514821868).

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

141009108756 is a wasteful number, since it uses less digits than its factorization.

141009108756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8240 (or 8238 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

It can be divided in two parts, 14100 and 9108756, that added together give a triangular number (9122856 = T4271).

The spelling of 141009108756 in words is "one hundred forty-one billion, nine million, one hundred eight thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 1433 1567 2866 3134 4299 4701 5233 5732 6268 8598 9402 10466 15699 17196 18804 20932 31398 62796 2245511 4491022 6736533 7498889 8200111 8982044 13473066 14997778 16400222 22496667 24600333 26946132 29995556 32800444 44993334 49200666 89986668 98401332 11750759063 23501518126 35252277189 47003036252 70504554378 141009108756