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2141073844 = 2271322232029
BaseRepresentation
bin111111110011110…
…0011000110110100
312112012210211011021
41333213203012310
513341103330334
6552242350524
7104025553540
oct17747430664
95465724137
102141073844
119a9642518
124b905b444
1328176c400
141644dca20
15c7e7c3b4
hex7f9e31b4

2141073844 has 72 divisors (see below), whose sum is σ = 4659970560. Its totient is φ = 842804352.

The previous prime is 2141073817. The next prime is 2141073853. The reversal of 2141073844 is 4483701412.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1054222 + ... + 1056250.

Almost surely, 22141073844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141073844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329985280).

2141073844 is an abundant number, since it is smaller than the sum of its proper divisors (2518896716).

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

2141073844 is a wasteful number, since it uses less digits than its factorization.

2141073844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 2141073844 is about 46271.7391503713. The cubic root of 2141073844 is about 1288.8742545449.

The spelling of 2141073844 in words is "two billion, one hundred forty-one million, seventy-three thousand, eight hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 223 338 364 446 676 892 1183 1561 2029 2366 2899 3122 4058 4732 5798 6244 8116 11596 14203 20293 26377 28406 37687 40586 52754 56812 75374 81172 105508 150748 184639 263809 342901 369278 452467 527618 685802 738556 904934 1055236 1371604 1809868 2400307 3167269 4800614 5882071 6334538 9601228 11764142 12669076 23528284 41174497 76466923 82348994 152933846 164697988 305867692 535268461 1070536922 2141073844