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2140045344 = 25321312433
BaseRepresentation
bin111111110001110…
…1000000000100000
312112010212120022200
41333203220000200
513340322422334
6552204333200
7104014041153
oct17743500040
95463776280
102140045344
119a8aaa818
124b8844200
1328149c228
14164311c9a
15c7d27799
hex7f8e8020

2140045344 has 108 divisors (see below), whose sum is σ = 6146727678. Its totient is φ = 706268160.

The previous prime is 2140045339. The next prime is 2140045363. The reversal of 2140045344 is 4435400412.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2078265744 + 61779600 = 45588^2 + 7860^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4942152 + ... + 4942584.

Almost surely, 22140045344 is an apocalyptic number.

2140045344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140045344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073363839).

2140045344 is an abundant number, since it is smaller than the sum of its proper divisors (4006682334).

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

2140045344 is a wasteful number, since it uses less digits than its factorization.

2140045344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2140045344 is about 46260.6241203034. The cubic root of 2140045344 is about 1288.6678441822.

Adding to 2140045344 its reverse (4435400412), we get a palindrome (6575445756).

The spelling of 2140045344 in words is "two billion, one hundred forty million, forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 131 144 262 288 393 433 524 786 866 1048 1179 1299 1572 1732 2096 2358 2598 3144 3464 3897 4192 4716 5196 6288 6928 7794 9432 10392 12576 13856 15588 17161 18864 20784 31176 34322 37728 41568 51483 56723 62352 68644 102966 113446 124704 137288 154449 170169 205932 226892 274576 308898 340338 411864 453784 510507 549152 617796 680676 823728 907568 1021014 1235592 1361352 1647456 1815136 2042028 2471184 2722704 4084056 4942368 5445408 7430713 8168112 14861426 16336224 22292139 29722852 44584278 59445704 66876417 89168556 118891408 133752834 178337112 237782816 267505668 356674224 535011336 713348448 1070022672 2140045344