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141377033781 = 3237424555657
BaseRepresentation
bin1000001110101010111…
…0100101011000110101
3111111220210211102222100
42003222232211120311
54304020010040111
6144540412252313
713133311650024
oct2035256453065
9444823742870
10141377033781
1154a59716a95
1223496a71099
1310440c5c199
146bb24828bb
153a26a7b756
hex20eaba5635

141377033781 has 12 divisors (see below), whose sum is σ = 209730495052. Its totient is φ = 91704021696.

The previous prime is 141377033779. The next prime is 141377033807. The reversal of 141377033781 is 187330773141.

141377033781 is a `hidden beast` number, since 141 + 37 + 70 + 337 + 81 = 666.

141377033781 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 65672262756 + 75704771025 = 256266^2 + 275145^2 .

It is not a de Polignac number, because 141377033781 - 21 = 141377033779 is a prime.

It is a super-3 number, since 3×1413770337813 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141377033701) 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 11 ways as a sum of consecutive naturals, for example, 212277496 + ... + 212278161.

Almost surely, 2141377033781 is an apocalyptic number.

It is an amenable number.

141377033781 is a deficient number, since it is larger than the sum of its proper divisors (68353461271).

141377033781 is a wasteful number, since it uses less digits than its factorization.

141377033781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424555700 (or 424555697 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

It can be divided in two parts, 1413770 and 33781, that added together give a triangular number (1447551 = T1701).

The spelling of 141377033781 in words is "one hundred forty-one billion, three hundred seventy-seven million, thirty-three thousand, seven hundred eighty-one".

Divisors: 1 3 9 37 111 333 424555657 1273666971 3821000913 15708559309 47125677927 141377033781