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141290368 = 275359353
BaseRepresentation
bin10000110101111…
…10101110000000
3100211212021221121
420122332232000
5242132242433
622004202024
73333643162
oct1032765600
9324767847
10141290368
11728335aa
123b399314
132336c78b
1414a9c932
15c60dc2d
hex86beb80

141290368 has 64 divisors (see below), whose sum is σ = 292474800. Its totient is φ = 67944448.

The previous prime is 141290339. The next prime is 141290371. The reversal of 141290368 is 863092141.

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

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, 400080 + ... + 400432.

Almost surely, 2141290368 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 141290368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146237400).

141290368 is an abundant number, since it is smaller than the sum of its proper divisors (151184432).

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

141290368 is an equidigital number, since it uses as much as digits as its factorization.

141290368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 141290368 is about 11886.5624972067. The cubic root of 141290368 is about 520.8398263397.

It can be divided in two parts, 1412 and 90368, that multiplied together give a square (127599616 = 112962).

The spelling of 141290368 in words is "one hundred forty-one million, two hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 53 59 64 106 118 128 212 236 353 424 472 706 848 944 1412 1696 1888 2824 3127 3392 3776 5648 6254 6784 7552 11296 12508 18709 20827 22592 25016 37418 41654 45184 50032 74836 83308 100064 149672 166616 200128 299344 333232 400256 598688 666464 1103831 1197376 1332928 2207662 2394752 2665856 4415324 8830648 17661296 35322592 70645184 141290368