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141629376 = 2637105379
BaseRepresentation
bin10000111000100…
…01011111000000
3100212111111222110
420130101133000
5242224120001
622015335320
73336554430
oct1034213700
9325444873
10141629376
1172a45279
123b521540
132345ab85
1414b4a2c0
15c6793d6
hex87117c0

141629376 has 56 divisors (see below), whose sum is σ = 428264320. Its totient is φ = 40465152.

The previous prime is 141629347. The next prime is 141629387. The reversal of 141629376 is 673926141.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1416293762 = 40117760292298752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51346 + ... + 54033.

Almost surely, 2141629376 is an apocalyptic number.

141629376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

141629376 is an abundant number, since it is smaller than the sum of its proper divisors (286634944).

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

141629376 is a wasteful number, since it uses less digits than its factorization.

141629376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105401 (or 105391 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 141629376 is about 11900.8140898007. The cubic root of 141629376 is about 521.2560562644.

The spelling of 141629376 in words is "one hundred forty-one million, six hundred twenty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 105379 210758 316137 421516 632274 737653 843032 1264548 1475306 1686064 2212959 2529096 2950612 3372128 4425918 5058192 5901224 6744256 8851836 10116384 11802448 17703672 20232768 23604896 35407344 47209792 70814688 141629376