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140156016 = 243711132917
BaseRepresentation
bin10000101101010…
…01110001110000
3100202201122220120
420112221301300
5241334443031
621524010240
73321210060
oct1026516160
9322648816
10140156016
1172129320
123ab30980
1323063370
14148853a0
15c487a96
hex85a9c70

140156016 has 160 divisors (see below), whose sum is σ = 486302208. Its totient is φ = 33592320.

The previous prime is 140155993. The next prime is 140156087. The reversal of 140156016 is 610651041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46590 + ... + 49506.

Almost surely, 2140156016 is an apocalyptic number.

140156016 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 140156016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243151104).

140156016 is an abundant number, since it is smaller than the sum of its proper divisors (346146192).

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

140156016 is a wasteful number, since it uses less digits than its factorization.

140156016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2959 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 140156016 is about 11838.7506097561. The cubic root of 140156016 is about 519.4422224271.

The spelling of 140156016 in words is "one hundred forty million, one hundred fifty-six thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 728 858 924 1001 1092 1144 1232 1456 1716 1848 2002 2184 2288 2917 3003 3432 3696 4004 4368 5834 6006 6864 8008 8751 11668 12012 16016 17502 20419 23336 24024 32087 35004 37921 40838 46672 48048 61257 64174 70008 75842 81676 96261 113763 122514 128348 140016 151684 163352 192522 224609 227526 245028 256696 265447 303368 326704 385044 417131 449218 455052 490056 513392 530894 606736 673827 770088 796341 834262 898436 910104 980112 1061788 1251393 1347654 1540176 1592682 1668524 1796872 1820208 2123576 2502786 2695308 2919917 3185364 3337048 3593744 4247152 5005572 5390616 5839834 6370728 6674096 8759751 10011144 10781232 11679668 12741456 17519502 20022288 23359336 35039004 46718672 70078008 140156016