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2140042124 = 22111929103857
BaseRepresentation
bin111111110001110…
…0111001110001100
312112010212101220102
41333203213032030
513340322321444
6552204310232
7104014025603
oct17743471614
95463771812
102140042124
119a8aa8360
124b8842378
1328149a91c
14164310a3a
15c7d2684e
hex7f8e738c

2140042124 has 96 divisors (see below), whose sum is σ = 4497292800. Its totient is φ = 880104960.

The previous prime is 2140042111. The next prime is 2140042129. The reversal of 2140042124 is 4212400412.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 2140042096 and 2140042105.

It is not an unprimeable number, because it can be changed into a prime (2140042129) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2496704 + ... + 2497560.

It is an arithmetic number, because the mean of its divisors is an integer number (46846800).

Almost surely, 22140042124 is an apocalyptic number.

It is an amenable number.

2140042124 is an abundant number, since it is smaller than the sum of its proper divisors (2357250676).

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

2140042124 is a wasteful number, since it uses less digits than its factorization.

2140042124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2140042124 is about 46260.5893174741. The cubic root of 2140042124 is about 1288.6671978544.

Adding to 2140042124 its reverse (4212400412), we get a palindrome (6352442536).

The spelling of 2140042124 in words is "two billion, one hundred forty million, forty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 11 19 22 29 38 44 58 76 103 116 206 209 319 412 418 551 638 836 857 1102 1133 1276 1714 1957 2204 2266 2987 3428 3914 4532 5974 6061 7828 9427 11948 12122 16283 18854 21527 24244 24853 32566 32857 37708 43054 49706 56753 65132 65714 86108 88271 99412 113506 131428 176542 179113 227012 273383 353084 358226 472207 546766 624283 716452 944414 970981 1093532 1248566 1677149 1888828 1941962 2497132 2559859 3354298 3883924 5119718 5194277 6708596 10239436 10388554 18448639 20777108 28158449 36897278 48637321 56316898 73794556 97274642 112633796 194549284 535010531 1070021062 2140042124