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2140423428 = 22311134726539
BaseRepresentation
bin111111110010100…
…0100010100000100
312112011120202221210
41333211010110010
513340422022203
6552220411420
7104020204353
oct17745042404
95464522853
102140423428
119a9238890
124b89a6b70
132815a2350
141643ad99a
15c7d9e803
hex7f944504

2140423428 has 96 divisors (see below), whose sum is σ = 5992519680. Its totient is φ = 585959040.

The previous prime is 2140423421. The next prime is 2140423429. The reversal of 2140423428 is 8243240412.

It is a super-2 number, since 2×21404234282 = 9162824902262542368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2140423395 and 2140423404.

It is not an unprimeable number, because it can be changed into a prime (2140423421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67383 + ... + 93921.

It is an arithmetic number, because the mean of its divisors is an integer number (62422080).

Almost surely, 22140423428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140423428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996259840).

2140423428 is an abundant number, since it is smaller than the sum of its proper divisors (3852096252).

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

2140423428 is a wasteful number, since it uses less digits than its factorization.

2140423428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26617 (or 26615 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 2140423428 is about 46264.7103957217. The cubic root of 2140423428 is about 1288.7437298022.

It can be divided in two parts, 214042 and 3428, that added together give a triangular number (217470 = T659).

The spelling of 2140423428 in words is "two billion, one hundred forty million, four hundred twenty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 47 52 66 78 94 132 141 143 156 188 282 286 429 517 564 572 611 858 1034 1222 1551 1716 1833 2068 2444 3102 3666 6204 6721 7332 13442 20163 26539 26884 40326 53078 79617 80652 106156 159234 291929 318468 345007 583858 690014 875787 1035021 1167716 1247333 1380028 1751574 2070042 2494666 3503148 3741999 3795077 4140084 4989332 7483998 7590154 11385231 13720663 14967996 15180308 16215329 22770462 27441326 32430658 41161989 45540924 48645987 54882652 64861316 82323978 97291974 164647956 178368619 194583948 356737238 535105857 713474476 1070211714 2140423428