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2044141120 = 26577112853
BaseRepresentation
bin111100111010111…
…0001111001000000
312021110102010110101
41321311301321000
513141300003440
6534501012144
7101440625050
oct17165617100
95243363411
102044141120
1195995652a
124906b4054
13267660a78
141556a9560
15be6d169a
hex79d71e40

2044141120 has 112 divisors (see below), whose sum is σ = 5641774848. Its totient is φ = 690923520.

The previous prime is 2044141103. The next prime is 2044141133. The reversal of 2044141120 is 211414402.

It is a tau number, because it is divible by the number of its divisors (112).

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, 152614 + ... + 165466.

Almost surely, 22044141120 is an apocalyptic number.

2044141120 is a gapful number since it is divisible by the number (20) 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 2044141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820887424).

2044141120 is an abundant number, since it is smaller than the sum of its proper divisors (3597633728).

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

2044141120 is a wasteful number, since it uses less digits than its factorization.

2044141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12948 (or 12938 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2044141120 is about 45212.1788902061. The cubic root of 2044141120 is about 1269.1227372098.

Adding to 2044141120 its reverse (211414402), we get a palindrome (2255555522).

The spelling of 2044141120 in words is "two billion, forty-four million, one hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 71 80 112 140 142 160 224 280 284 320 355 448 497 560 568 710 994 1120 1136 1420 1988 2240 2272 2485 2840 3976 4544 4970 5680 7952 9940 11360 12853 15904 19880 22720 25706 31808 39760 51412 64265 79520 89971 102824 128530 159040 179942 205648 257060 359884 411296 449855 514120 719768 822592 899710 912563 1028240 1439536 1799420 1825126 2056480 2879072 3598840 3650252 4112960 4562815 5758144 6387941 7197680 7300504 9125630 12775882 14395360 14601008 18251260 25551764 28790720 29202016 31939705 36502520 51103528 58404032 63879410 73005040 102207056 127758820 146010080 204414112 255517640 292020160 408828224 511035280 1022070560 2044141120