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2113401314440 = 2351316477246661
BaseRepresentation
bin11110110000010000100…
…010001101110010001000
321111001001120102111121001
4132300100202031302020
5234111221214030230
64254514432424344
7305455024526113
oct36602042156210
97431046374531
102113401314440
11745319a44869
122a17119a80b4
131243a6627470
14744096a357a
1539e939dc0ca
hex1ec1088dc88

2113401314440 has 64 divisors (see below), whose sum is σ = 5121265509360. Its totient is φ = 780282270720.

The previous prime is 2113401314383. The next prime is 2113401314441. The reversal of 2113401314440 is 444131043112.

It can be written as a sum of positive squares in 8 ways, for example, as 800878226724 + 1312523087716 = 894918^2 + 1145654^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2113401314399 and 2113401314408.

It is not an unprimeable number, because it can be changed into a prime (2113401314441) 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, 8444710 + ... + 8691370.

Almost surely, 22113401314440 is an apocalyptic number.

2113401314440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113401314440 is an abundant number, since it is smaller than the sum of its proper divisors (3007864194920).

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

2113401314440 is a wasteful number, since it uses less digits than its factorization.

2113401314440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263162 (or 263158 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 2113401314440 its reverse (444131043112), we get a palindrome (2557532357552).

The spelling of 2113401314440 in words is "two trillion, one hundred thirteen billion, four hundred one million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 16477 32954 65908 82385 131816 164770 214201 246661 329540 428402 493322 659080 856804 986644 1071005 1233305 1713608 1973288 2142010 2466610 3206593 4284020 4933220 6413186 8568040 9866440 12826372 16032965 25652744 32065930 64131860 128263720 4064233297 8128466594 16256933188 20321166485 32513866376 40642332970 52835032861 81284665940 105670065722 162569331880 211340131444 264175164305 422680262888 528350328610 1056700657220 2113401314440