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11314119540 = 2235523736007
BaseRepresentation
bin10101000100101111…
…11100001101110100
31002012111111211020110
422202113330031310
5141132403311130
65110404503020
7550242300153
oct124227741564
932174454213
1011314119540
114886586519
1222390aaa70
1310b402a0b9
147948bb59a
1546343bab0
hex2a25fc374

11314119540 has 48 divisors (see below), whose sum is σ = 31686463872. Its totient is φ = 3016438656.

The previous prime is 11314119529. The next prime is 11314119541. The reversal of 11314119540 is 4591141311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11314119498 and 11314119507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11314119541) 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, 296217 + ... + 332223.

It is an arithmetic number, because the mean of its divisors is an integer number (660134664).

Almost surely, 211314119540 is an apocalyptic number.

11314119540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11314119540 is an abundant number, since it is smaller than the sum of its proper divisors (20372344332).

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

11314119540 is a wasteful number, since it uses less digits than its factorization.

11314119540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41256 (or 41254 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The spelling of 11314119540 in words is "eleven billion, three hundred fourteen million, one hundred nineteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 5237 10474 15711 20948 26185 31422 36007 52370 62844 72014 78555 104740 108021 144028 157110 180035 216042 314220 360070 432084 540105 720140 1080210 2160420 188568659 377137318 565705977 754274636 942843295 1131411954 1885686590 2262823908 2828529885 3771373180 5657059770 11314119540