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2014141809150 = 23252172231180657
BaseRepresentation
bin11101010011110100001…
…101010000000111111110
321010112212000011012010100
4131103310031100013332
5230444430300343100
64141141201021530
7265342211620242
oct35236415200776
97115760135110
102014141809150
117072135a7369
122864300248a6
13117c18364b93
146d6b0b1c422
15375d47c3400
hex1d4f43501fe

2014141809150 has 144 divisors (see below), whose sum is σ = 5755339384704. Its totient is φ = 503242813440.

The previous prime is 2014141809143. The next prime is 2014141809193. The reversal of 2014141809150 is 519081414102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1115622 + ... + 2296278.

It is an arithmetic number, because the mean of its divisors is an integer number (39967634616).

Almost surely, 22014141809150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014141809150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877669692352).

2014141809150 is an abundant number, since it is smaller than the sum of its proper divisors (3741197575554).

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

2014141809150 is a wasteful number, since it uses less digits than its factorization.

2014141809150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180915 (or 1180907 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 2014141809150 in words is "two trillion, fourteen billion, one hundred forty-one million, eight hundred nine thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 223 225 255 306 425 446 450 510 669 765 850 1115 1275 1338 1530 2007 2230 2550 3345 3791 3825 4014 5575 6690 7582 7650 10035 11150 11373 16725 18955 20070 22746 33450 34119 37910 50175 56865 68238 94775 100350 113730 170595 189550 284325 341190 568650 852975 1180657 1705950 2361314 3541971 5903285 7083942 10625913 11806570 17709855 20071169 21251826 29516425 35419710 40142338 53129565 59032850 60213507 88549275 100355845 106259130 120427014 177098550 180640521 200711690 263286511 265647825 301067535 361281042 501779225 526573022 531295650 602135070 789859533 903202605 1003558450 1316432555 1505337675 1579719066 1806405210 2369578599 2632865110 3010675350 3949297665 4475870687 4516013025 4739157198 6582162775 7898595330 8951741374 9032026050 11847892995 13164325550 13427612061 19746488325 22379353435 23695785990 26855224122 39492976650 40282836183 44758706870 59239464975 67138060305 80565672366 111896767175 118478929950 134276120610 201414180915 223793534350 335690301525 402828361830 671380603050 1007070904575 2014141809150