Search a number
-
+
141215117796 = 223669592
BaseRepresentation
bin1000001110000100010…
…0111011000111100100
3111111111112011021000000
42003201010323013210
54303202032232141
6144512350021300
713126304460534
oct2034104730744
9444445137000
10141215117796
1154986286125
12234507a7830
131041654a5cc
146b98b754c4
153a177465b6
hex20e113b1e4

141215117796 has 63 divisors (see below), whose sum is σ = 370573438291. Its totient is φ = 47064941784.

The previous prime is 141215117777. The next prime is 141215117831. The reversal of 141215117796 is 697711512141.

The square root of 141215117796 is 375786.

It is a perfect power (a square), and thus also a powerful number.

141215117796 is a `hidden beast` number, since 1 + 4 + 121 + 511 + 7 + 7 + 9 + 6 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 20288965 + ... + 20295923.

Almost surely, 2141215117796 is an apocalyptic number.

141215117796 is the 375786-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141215117796

141215117796 is an abundant number, since it is smaller than the sum of its proper divisors (229358320495).

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

141215117796 is an frugal number, since it uses more digits than its factorization.

141215117796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13940 (or 6964 counting only the distinct ones).

The product of its digits is 105840, while the sum is 45.

The spelling of 141215117796 in words is "one hundred forty-one billion, two hundred fifteen million, one hundred seventeen thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 6959 13918 20877 27836 41754 62631 83508 125262 187893 250524 375786 563679 751572 1127358 1691037 2254716 3382074 5073111 6764148 10146222 20292444 48427681 96855362 145283043 193710724 290566086 435849129 581132172 871698258 1307547387 1743396516 2615094774 3922642161 5230189548 7845284322 11767926483 15690568644 23535852966 35303779449 47071705932 70607558898 141215117796