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245120142144 = 2635437234811
BaseRepresentation
bin1110010001001001001…
…1001000101101000000
3212102200211210101121010
43210102103020231000
513004001224022034
6304335011200520
723465206554633
oct3442223105500
9772624711533
10245120142144
1194a55a25879
123b60a2a6140
131a1650a6b37
14bc146a5c1a
1565996e53e9
hex39124c8b40

245120142144 has 56 divisors (see below), whose sum is σ = 648669089248. Its totient is φ = 81691338240.

The previous prime is 245120142133. The next prime is 245120142227. The reversal of 245120142144 is 441241021542.

It is a super-3 number, since 3×2451201421443 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 926499 + ... + 1161309.

Almost surely, 2245120142144 is an apocalyptic number.

245120142144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

245120142144 is an abundant number, since it is smaller than the sum of its proper divisors (403548947104).

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

245120142144 is a wasteful number, since it uses less digits than its factorization.

245120142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240263 (or 240253 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 245120142144 its reverse (441241021542), we get a palindrome (686361163686).

The spelling of 245120142144 in words is "two hundred forty-five billion, one hundred twenty million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 5437 10874 16311 21748 32622 43496 65244 86992 130488 173984 234811 260976 347968 469622 521952 704433 939244 1043904 1408866 1878488 2817732 3756976 5635464 7513952 11270928 15027904 22541856 45083712 1276667407 2553334814 3830002221 5106669628 7660004442 10213339256 15320008884 20426678512 30640017768 40853357024 61280035536 81706714048 122560071072 245120142144