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2040204144 = 2431123433907
BaseRepresentation
bin111100110011011…
…0000101101110000
312021012000002221110
41321212300231300
513134243013034
6534240353320
7101362310016
oct17146605560
95235002843
102040204144
11957707630
1248b315840
132668b2ab4
14154d628b6
15be1a4de9
hex799b0b70

2040204144 has 160 divisors (see below), whose sum is σ = 6140749824. Its totient is φ = 577463040.

The previous prime is 2040204107. The next prime is 2040204163. The reversal of 2040204144 is 4414020402.

2040204144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2040204144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 520239 + ... + 524145.

Almost surely, 22040204144 is an apocalyptic number.

2040204144 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 2040204144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070374912).

2040204144 is an abundant number, since it is smaller than the sum of its proper divisors (4100545680).

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

2040204144 is a wasteful number, since it uses less digits than its factorization.

2040204144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3995 (or 3989 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2040204144 is about 45168.6190180749. The cubic root of 2040204144 is about 1268.3074450121.

Adding to 2040204144 its reverse (4414020402), we get a palindrome (6454224546).

The spelling of 2040204144 in words is "two billion, forty million, two hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 43 44 46 48 66 69 86 88 92 129 132 138 172 176 184 253 258 264 276 344 368 473 506 516 528 552 688 759 946 989 1012 1032 1104 1419 1518 1892 1978 2024 2064 2838 2967 3036 3784 3907 3956 4048 5676 5934 6072 7568 7814 7912 10879 11352 11721 11868 12144 15628 15824 21758 22704 23442 23736 31256 32637 42977 43516 46884 47472 62512 65274 85954 87032 89861 93768 128931 130548 168001 171908 174064 179722 187536 257862 261096 269583 336002 343816 359444 504003 515724 522192 539166 672004 687632 718888 988471 1008006 1031448 1078332 1344008 1437776 1848011 1976942 2016012 2062896 2156664 2688016 2965413 3696022 3864023 3953884 4032024 4313328 5544033 5930826 7392044 7728046 7907768 8064048 11088066 11592069 11861652 14784088 15456092 15815536 22176132 23184138 23723304 29568176 30912184 42504253 44352264 46368276 47446608 61824368 85008506 88704528 92736552 127512759 170017012 185473104 255025518 340034024 510051036 680068048 1020102072 2040204144