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140679000096 = 2538331215657
BaseRepresentation
bin1000001100000100011…
…1110011000000100000
3111110010011100122202220
42003001013303000200
54301102311000341
6144343235111040
713110104525265
oct2030107630040
9443104318686
10140679000096
115473069aa48
1223321142480
131035c45aabb
146b4789b26c
1539d5646a66
hex20c11f3020

140679000096 has 96 divisors (see below), whose sum is σ = 373917394368. Its totient is φ = 46304993280.

The previous prime is 140679000089. The next prime is 140679000097. The reversal of 140679000096 is 690000976041.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (140679000097) 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, 24865300 + ... + 24870956.

It is an arithmetic number, because the mean of its divisors is an integer number (3894972858).

Almost surely, 2140679000096 is an apocalyptic number.

140679000096 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 140679000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186958697184).

140679000096 is an abundant number, since it is smaller than the sum of its proper divisors (233238394272).

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

140679000096 is a wasteful number, since it uses less digits than its factorization.

140679000096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8874 (or 8866 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 140679000096 in words is "one hundred forty billion, six hundred seventy-nine million, ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3121 3984 5657 6242 7968 9363 11314 12484 16971 18726 22628 24968 33942 37452 45256 49936 67884 74904 90512 99872 135768 149808 181024 259043 271536 299616 469531 518086 543072 777129 939062 1036172 1408593 1554258 1878124 2072344 2817186 3108516 3756248 4144688 5634372 6217032 7512496 8289376 11268744 12434064 15024992 17655497 22537488 24868128 35310994 45074976 52966491 70621988 105932982 141243976 211865964 282487952 423731928 564975904 847463856 1465406251 1694927712 2930812502 4396218753 5861625004 8792437506 11723250008 17584875012 23446500016 35169750024 46893000032 70339500048 140679000096