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141362124 = 223294011013
BaseRepresentation
bin10000110110100…
…00001111001100
3100211222221101020
420123100033030
5242142041444
622005514140
73334362321
oct1033201714
9324887336
10141362124
1172882502
123b412950
1323396337
1414abab48
15c625119
hex86d03cc

141362124 has 48 divisors (see below), whose sum is σ = 342407520. Its totient is φ = 45337600.

The previous prime is 141362099. The next prime is 141362129. The reversal of 141362124 is 421263141.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 141362094 and 141362103.

It is not an unprimeable number, because it can be changed into a prime (141362129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139042 + ... + 140054.

It is an arithmetic number, because the mean of its divisors is an integer number (7133490).

Almost surely, 2141362124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141362124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171203760).

141362124 is an abundant number, since it is smaller than the sum of its proper divisors (201045396).

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

141362124 is a wasteful number, since it uses less digits than its factorization.

141362124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1448 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 141362124 is about 11889.5804804038. The cubic root of 141362124 is about 520.9279829919.

The spelling of 141362124 in words is "one hundred forty-one million, three hundred sixty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 401 802 1013 1203 1604 2026 2406 3039 4052 4812 6078 11629 12156 23258 29377 34887 46516 58754 69774 88131 117508 139548 176262 352524 406213 812426 1218639 1624852 2437278 4874556 11780177 23560354 35340531 47120708 70681062 141362124