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141034251201444 = 223212730847386527
BaseRepresentation
bin100000000100010100011000…
…011100011010101110100100
3200111100202001110100021111200
4200010110120130122232210
5121441201121301421234
61215542123543402500
741464250135325216
oct4004243034325644
9614322043307450
10141034251201444
1140a35321058797
1213999471453430
13609061ba36233
1426b81466025b6
151148957bc1d99
hex80451871aba4

141034251201444 has 36 divisors (see below), whose sum is σ = 359310358278144. Its totient is φ = 46641248427312.

The previous prime is 141034251201433. The next prime is 141034251201451. The reversal of 141034251201444 is 444102152430141.

141034251201444 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 3 + 4 + 2 + 5 + 1 + 201 + 444 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 141034251201399 and 141034251201408.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15423688692 + ... + 15423697835.

It is an arithmetic number, because the mean of its divisors is an integer number (9980843285504).

Almost surely, 2141034251201444 is an apocalyptic number.

It is an amenable number.

141034251201444 is an abundant number, since it is smaller than the sum of its proper divisors (218276107076700).

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

141034251201444 is a wasteful number, since it uses less digits than its factorization.

141034251201444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30847386664 (or 30847386659 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 141034251201444 in words is "one hundred forty-one trillion, thirty-four billion, two hundred fifty-one million, two hundred one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 127 254 381 508 762 1143 1524 2286 4572 30847386527 61694773054 92542159581 123389546108 185084319162 277626478743 370168638324 555252957486 1110505914972 3917618088929 7835236177858 11752854266787 15670472355716 23505708533574 35258562800361 47011417067148 70517125600722 141034251201444