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140216892733312 = 271961953991777
BaseRepresentation
bin11111111000011011001010…
…000101010011011110000000
3200101110121022100011222202221
4133320123022011103132000
5121334303144014431222
61214114430135020424
741351223213065323
oct3770331205233600
9611417270158687
10140216892733312
114074a717556a6a
1213886b8180a714
13603151c736a55
14268a768b287ba
15113256a9ea0c7
hex7f86ca153780

140216892733312 has 128 divisors (see below), whose sum is σ = 299174594234400. Its totient is φ = 65261082378240.

The previous prime is 140216892733259. The next prime is 140216892733391. The reversal of 140216892733312 is 213337298612041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 140216892733312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140883568 + ... + 141875344.

Almost surely, 2140216892733312 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 140216892733312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149587297117200).

140216892733312 is an abundant number, since it is smaller than the sum of its proper divisors (158957701501088).

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

140216892733312 is an equidigital number, since it uses as much as digits as its factorization.

140216892733312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992824 (or 992812 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 140216892733312 in words is "one hundred forty trillion, two hundred sixteen billion, eight hundred ninety-two million, seven hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 61 64 76 122 128 152 244 304 488 608 953 976 1159 1216 1906 1952 2318 2432 3812 3904 4636 7624 7808 9272 15248 18107 18544 30496 36214 37088 58133 60992 72428 74176 116266 121984 144856 148352 232532 289712 465064 579424 930128 991777 1104527 1158848 1860256 1983554 2209054 2317696 3720512 3967108 4418108 7441024 7934216 8836216 15868432 17672432 18843763 31736864 35344864 37687526 60498397 63473728 70689728 75375052 120996794 126947456 141379456 150750104 241993588 301500208 483987176 603000416 945163481 967974352 1149469543 1206000832 1890326962 1935948704 2298939086 2412001664 3780653924 3871897408 4597878172 7561307848 7743794816 9195756344 15122615696 17958106139 18391512688 30245231392 35916212278 36783025376 57654972341 60490462784 71832424556 73566050752 115309944682 120980925568 143664849112 147132101504 230619889364 287329698224 461239778728 574659396448 922479557456 1095444474479 1149318792896 1844959114912 2190888948958 2298637585792 3689918229824 4381777897916 7379836459648 8763555795832 17527111591664 35054223183328 70108446366656 140216892733312