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2044212144 = 243139733773
BaseRepresentation
bin111100111011000…
…0011001110110000
312021110112201212220
41321312003032300
513141304242034
6534502321040
7101441342112
oct17166031660
95243481786
102044212144
119599a4927
12490729180
132676871b0
141556c73b2
15be6e7749
hex79d833b0

2044212144 has 80 divisors (see below), whose sum is σ = 5745903072. Its totient is φ = 622485504.

The previous prime is 2044212119. The next prime is 2044212151. The reversal of 2044212144 is 4412124402.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 43642 + ... + 77414.

Almost surely, 22044212144 is an apocalyptic number.

2044212144 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 2044212144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872951536).

2044212144 is an abundant number, since it is smaller than the sum of its proper divisors (3701690928).

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

2044212144 is a wasteful number, since it uses less digits than its factorization.

2044212144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33894 (or 33888 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2044212144 is about 45212.9643354647. The cubic root of 2044212144 is about 1269.1374356617.

Adding to 2044212144 its reverse (4412124402), we get a palindrome (6456336546).

The spelling of 2044212144 in words is "two billion, forty-four million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 97 104 156 194 208 291 312 388 582 624 776 1164 1261 1552 2328 2522 3783 4656 5044 7566 10088 15132 20176 30264 33773 60528 67546 101319 135092 202638 270184 405276 439049 540368 810552 878098 1317147 1621104 1756196 2634294 3275981 3512392 5268588 6551962 7024784 9827943 10537176 13103924 19655886 21074352 26207848 39311772 42587753 52415696 78623544 85175506 127763259 157247088 170351012 255526518 340702024 511053036 681404048 1022106072 2044212144