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20142455440 = 2451714810629
BaseRepresentation
bin10010110000100101…
…010111101010010000
31220222202120202101011
4102300211113222100
5312222432033230
613130414420304
71312102021612
oct226045275220
956882522334
1020142455440
1185a6988998
123aa1801694
131b900647b3
14d911a8db2
157cd509e2a
hex4b0957a90

20142455440 has 40 divisors (see below), whose sum is σ = 49585989240. Its totient is φ = 7583041536.

The previous prime is 20142455401. The next prime is 20142455447. The reversal of 20142455440 is 4455424102.

It can be written as a sum of positive squares in 4 ways, for example, as 6292931584 + 13849523856 = 79328^2 + 117684^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×201424554402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20142455447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7403955 + ... + 7406674.

It is an arithmetic number, because the mean of its divisors is an integer number (1239649731).

Almost surely, 220142455440 is an apocalyptic number.

20142455440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20142455440 is an abundant number, since it is smaller than the sum of its proper divisors (29443533800).

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

20142455440 is a wasteful number, since it uses less digits than its factorization.

20142455440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14810659 (or 14810653 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 31.

Adding to 20142455440 its reverse (4455424102), we get a palindrome (24597879542).

The spelling of 20142455440 in words is "twenty billion, one hundred forty-two million, four hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 14810629 29621258 59242516 74053145 118485032 148106290 236970064 251780693 296212580 503561386 592425160 1007122772 1184850320 1258903465 2014245544 2517806930 4028491088 5035613860 10071227720 20142455440