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3729114020040 = 2335127244692521
BaseRepresentation
bin110110010001000000100…
…001000011100011001000
3111012111111100221010112120
4312101000201003203020
5442044211142120130
611533044211211240
7533263631112363
oct66210041034310
914174440833476
103729114020040
111208565712562
125028888a6b20
13210866936b26
14cc6c0ad90da
1567009767910
hex364408438c8

3729114020040 has 64 divisors (see below), whose sum is σ = 11275431413760. Its totient is φ = 986600240640.

The previous prime is 3729114020039. The next prime is 3729114020053. The reversal of 3729114020040 is 400204119273.

It is a junction number, because it is equal to n+sod(n) for n = 3729114019983 and 3729114020010.

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, 122331021 + ... + 122361500.

It is an arithmetic number, because the mean of its divisors is an integer number (176178615840).

Almost surely, 23729114020040 is an apocalyptic number.

3729114020040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3729114020040 is an abundant number, since it is smaller than the sum of its proper divisors (7546317393720).

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

3729114020040 is a wasteful number, since it uses less digits than its factorization.

3729114020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244692662 (or 244692658 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 3729114020040 in words is "three trillion, seven hundred twenty-nine billion, one hundred fourteen million, twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 3048 3810 5080 7620 15240 244692521 489385042 734077563 978770084 1223462605 1468155126 1957540168 2446925210 2936310252 3670387815 4893850420 5872620504 7340775630 9787700840 14681551260 29363102520 31075950167 62151900334 93227850501 124303800668 155379750835 186455701002 248607601336 310759501670 372911402004 466139252505 621519003340 745822804008 932278505010 1243038006680 1864557010020 3729114020040