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2044156014 = 234157179449
BaseRepresentation
bin111100111010111…
…0101100001101110
312021110102212220000
41321311311201232
513141300443024
6534501205130
7101441016345
oct17165654156
95243385800
102044156014
1195996673a
124907007a6
13267667794
141556b0b5c
15be6d5cc9
hex79d7586e

2044156014 has 80 divisors (see below), whose sum is σ = 4645674000. Its totient is φ = 671763456.

The previous prime is 2044155947. The next prime is 2044156033. The reversal of 2044156014 is 4106514402.

2044156014 is a `hidden beast` number, since 2 + 0 + 44 + 15 + 601 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 4552462 + ... + 4552910.

It is an arithmetic number, because the mean of its divisors is an integer number (58070925).

Almost surely, 22044156014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2044156014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322837000).

2044156014 is an abundant number, since it is smaller than the sum of its proper divisors (2601517986).

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

2044156014 is a wasteful number, since it uses less digits than its factorization.

2044156014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2044156014 is about 45212.3436021625. The cubic root of 2044156014 is about 1269.1258195587.

The spelling of 2044156014 in words is "two billion, forty-four million, one hundred fifty-six thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 157 162 179 314 358 449 471 537 898 942 1074 1347 1413 1611 2694 2826 3222 4041 4239 4833 8082 8478 9666 12123 12717 14499 24246 25434 28103 28998 36369 56206 70493 72738 80371 84309 140986 160742 168618 211479 241113 252927 422958 482226 505854 634437 723339 758781 1268874 1446678 1517562 1903311 2170017 2276343 3806622 4340034 4552686 5709933 6510051 11419866 12618247 13020102 25236494 37854741 75709482 113564223 227128446 340692669 681385338 1022078007 2044156014