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140514816 = 2931331227
BaseRepresentation
bin10000110000000…
…01011000000000
3100210101220002110
420120001120000
5241432433231
621535415320
73324233121
oct1030013000
9323356073
10140514816
1172353952
123b084540
132315a780
141493a048
15c509046
hex8601600

140514816 has 160 divisors (see below), whose sum is σ = 417973248. Its totient is φ = 41656320.

The previous prime is 140514799. The next prime is 140514833. The reversal of 140514816 is 618415041.

It is an interprime number because it is at equal distance from previous prime (140514799) and next prime (140514833).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618895 + ... + 619121.

Almost surely, 2140514816 is an apocalyptic number.

140514816 is a gapful number since it is divisible by the number (16) 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 140514816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208986624).

140514816 is an abundant number, since it is smaller than the sum of its proper divisors (277458432).

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

140514816 is a wasteful number, since it uses less digits than its factorization.

140514816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 140514816 is about 11853.8945498937. The cubic root of 140514816 is about 519.8851028198.

Adding to 140514816 its reverse (618415041), we get a palindrome (758929857).

The spelling of 140514816 in words is "one hundred forty million, five hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 227 248 256 312 372 384 403 416 454 496 512 624 681 744 768 806 832 908 992 1209 1248 1362 1488 1536 1612 1664 1816 1984 2418 2496 2724 2951 2976 3224 3328 3632 3968 4836 4992 5448 5902 5952 6448 6656 7037 7264 7936 8853 9672 9984 10896 11804 11904 12896 14074 14528 15872 17706 19344 19968 21111 21792 23608 23808 25792 28148 29056 35412 38688 42222 43584 47216 47616 51584 56296 58112 70824 77376 84444 87168 91481 94432 103168 112592 116224 141648 154752 168888 174336 182962 188864 206336 225184 274443 283296 309504 337776 348672 365924 377728 450368 548886 566592 619008 675552 731848 755456 900736 1097772 1133184 1351104 1463696 1510912 1801472 2195544 2266368 2702208 2927392 3602944 4391088 4532736 5404416 5854784 8782176 10808832 11709568 17564352 23419136 35128704 46838272 70257408 140514816