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2040142944 = 25374174047
BaseRepresentation
bin111100110011010…
…0001110001100000
312021011212222222210
41321212201301200
513134234033234
6534235202120
7101361633420
oct17146416140
95234788883
102040142944
11957675654
1248b2a6340
13266890c98
14154d48480
15be191be9
hex799a1c60

2040142944 has 96 divisors (see below), whose sum is σ = 6269792256. Its totient is φ = 568673280.

The previous prime is 2040142931. The next prime is 2040142967. The reversal of 2040142944 is 4492410402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9472 + ... + 64575.

It is an arithmetic number, because the mean of its divisors is an integer number (65310336).

Almost surely, 22040142944 is an apocalyptic number.

2040142944 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 2040142944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134896128).

2040142944 is an abundant number, since it is smaller than the sum of its proper divisors (4229649312).

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

2040142944 is a wasteful number, since it uses less digits than its factorization.

2040142944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74108 (or 74100 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2040142944 is about 45167.9415515031. The cubic root of 2040142944 is about 1268.2947630800.

The spelling of 2040142944 in words is "two billion, forty million, one hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 82 84 96 112 123 164 168 224 246 287 328 336 492 574 656 672 861 984 1148 1312 1722 1968 2296 3444 3936 4592 6888 9184 13776 27552 74047 148094 222141 296188 444282 518329 592376 888564 1036658 1184752 1554987 1777128 2073316 2369504 3035927 3109974 3554256 4146632 6071854 6219948 7108512 8293264 9107781 12143708 12439896 16586528 18215562 21251489 24287416 24879792 36431124 42502978 48574832 49759584 63754467 72862248 85005956 97149664 127508934 145724496 170011912 255017868 291448992 340023824 510035736 680047648 1020071472 2040142944