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140808144 = 24317434013
BaseRepresentation
bin10000110010010…
…00111111010000
3100210221210110110
420121020333100
5242021330034
621550001320
73326564241
oct1031107720
9323853413
10140808144
1172534274
123b1a6240
1323231139
14149b4cc8
15c565de9
hex8648fd0

140808144 has 80 divisors (see below), whose sum is σ = 394206912. Its totient is φ = 43137024.

The previous prime is 140808133. The next prime is 140808149. The reversal of 140808144 is 441808041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140808149) 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, 33082 + ... + 37094.

Almost surely, 2140808144 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 140808144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197103456).

140808144 is an abundant number, since it is smaller than the sum of its proper divisors (253398768).

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

140808144 is a wasteful number, since it uses less digits than its factorization.

140808144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4084 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 140808144 is about 11866.2607421209. The cubic root of 140808144 is about 520.2466088661.

The spelling of 140808144 in words is "one hundred forty million, eight hundred eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 43 48 51 68 86 102 129 136 172 204 258 272 344 408 516 688 731 816 1032 1462 2064 2193 2924 4013 4386 5848 8026 8772 11696 12039 16052 17544 24078 32104 35088 48156 64208 68221 96312 136442 172559 192624 204663 272884 345118 409326 517677 545768 690236 818652 1035354 1091536 1380472 1637304 2070708 2760944 2933503 3274608 4141416 5867006 8282832 8800509 11734012 17601018 23468024 35202036 46936048 70404072 140808144