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7014126000 = 2435372353137
BaseRepresentation
bin1101000100001001…
…10001000110110000
3200002211022112000110
412202010301012300
5103331104013000
63120001021320
7335550041640
oct64204610660
920084275013
107014126000
112a7a322752
121439024840
1387a21081b
144a7796520
152b0ba9850
hex1a21311b0

7014126000 has 640 divisors, whose sum is σ = 27677085696. Its totient is φ = 1493606400.

The previous prime is 7014125971. The next prime is 7014126019. The reversal of 7014126000 is 6214107.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51197932 + ... + 51198068.

Almost surely, 27014126000 is an apocalyptic number.

7014126000 is a gapful number since it is divisible by the number (70) 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 7014126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13838542848).

7014126000 is an abundant number, since it is smaller than the sum of its proper divisors (20662959696).

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

7014126000 is a wasteful number, since it uses less digits than its factorization.

7014126000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 7014126000 is about 83750.3791036196. The cubic root of 7014126000 is about 1914.2170832198.

It can be divided in two parts, 70141 and 26000, that added together give a triangular number (96141 = T438).

The spelling of 7014126000 in words is "seven billion, fourteen million, one hundred twenty-six thousand".