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141124992 = 2732271619
BaseRepresentation
bin10000110100101…
…10010110000000
3100211112220002120
420122112112000
5242111444432
622000444240
73332354061
oct1032262600
9324486076
10141124992
1172730328
123b319680
1323312418
1414a58568
15c5c9c2c
hex8696580

141124992 has 64 divisors (see below), whose sum is σ = 376747200. Its totient is φ = 46805504.

The previous prime is 141124969. The next prime is 141125057. The reversal of 141124992 is 299421141.

141124992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×1411249923 (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86359 + ... + 87977.

It is an arithmetic number, because the mean of its divisors is an integer number (5886675).

Almost surely, 2141124992 is an apocalyptic number.

141124992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141124992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188373600).

141124992 is an abundant number, since it is smaller than the sum of its proper divisors (235622208).

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

141124992 is a wasteful number, since it uses less digits than its factorization.

141124992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863 (or 1851 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 141124992 is about 11879.6040338052. The cubic root of 141124992 is about 520.6365380427.

The spelling of 141124992 in words is "one hundred forty-one million, one hundred twenty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 227 384 454 681 908 1362 1619 1816 2724 3238 3632 4857 5448 6476 7264 9714 10896 12952 14528 19428 21792 25904 29056 38856 43584 51808 77712 87168 103616 155424 207232 310848 367513 621696 735026 1102539 1470052 2205078 2940104 4410156 5880208 8820312 11760416 17640624 23520832 35281248 47041664 70562496 141124992