Search a number
-
+
99738986941440 = 21032571135978301
BaseRepresentation
bin10110101011011001001010…
…111000110000110000000000
3111002010221202111012022221200
4112223121022320300300000
5101033110421124111230
6552043242535021200
730002622034561110
oct2653311270606000
9432127674168850
1099738986941440
1129864080a36040
12b22a100b0a800
134386466539972
141a8b56d8d1040
15b7e68ebd7160
hex5ab64ae30c00

99738986941440 has 1056 divisors, whose sum is σ = 432074896081920. Its totient is φ = 20666990592000.

The previous prime is 99738986941387. The next prime is 99738986941453. The reversal of 99738986941440 is 4414968983799.

99738986941440 is a `hidden beast` number, since 9 + 9 + 7 + 3 + 8 + 9 + 86 + 94 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×997389869414402 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 99738986941440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1273750290 + ... + 1273828590.

Almost surely, 299738986941440 is an apocalyptic number.

99738986941440 is a gapful number since it is divisible by the number (90) 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 99738986941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216037448040960).

99738986941440 is an abundant number, since it is smaller than the sum of its proper divisors (332335909140480).

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

99738986941440 is a wasteful number, since it uses less digits than its factorization.

99738986941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78709 (or 78688 counting only the distinct ones).

The product of its (nonzero) digits is 3386105856, while the sum is 81.

The spelling of 99738986941440 in words is "ninety-nine trillion, seven hundred thirty-eight billion, nine hundred eighty-six million, nine hundred forty-one thousand, four hundred forty".