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141901408 = 25112913901
BaseRepresentation
bin10000111010100…
…11111001100000
3100220000100010201
420131103321200
5242311321113
622025234544
73342066505
oct1035237140
9326010121
10141901408
11731106a0
123b632a54
132352493c
1414bbb4ac
15c6cecdd
hex8753e60

141901408 has 48 divisors (see below), whose sum is σ = 315297360. Its totient is φ = 62272000.

The previous prime is 141901399. The next prime is 141901429. The reversal of 141901408 is 804109141.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3258 + ... + 17158.

It is an arithmetic number, because the mean of its divisors is an integer number (6568695).

Almost surely, 2141901408 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 141901408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157648680).

141901408 is an abundant number, since it is smaller than the sum of its proper divisors (173395952).

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

141901408 is a wasteful number, since it uses less digits than its factorization.

141901408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13951 (or 13943 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 141901408 is about 11912.2377410795. The cubic root of 141901408 is about 521.5895737939.

The spelling of 141901408 in words is "one hundred forty-one million, nine hundred one thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 464 638 928 1276 2552 5104 10208 13901 27802 55604 111208 152911 222416 305822 403129 444832 611644 806258 1223288 1612516 2446576 3225032 4434419 4893152 6450064 8868838 12900128 17737676 35475352 70950704 141901408