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2145145140 = 2233523172717
BaseRepresentation
bin111111111011100…
…0101000100110100
312112111110122221000
41333313011010310
513343124121030
6552505523300
7104105301315
oct17767050464
95474418830
102145145140
11a00973326
124ba4a3530
13282566568
14164c7c60c
15c84d3860
hex7fdc5134

2145145140 has 96 divisors (see below), whose sum is σ = 6963989760. Its totient is φ = 547164288.

The previous prime is 2145145063. The next prime is 2145145151. The reversal of 2145145140 is 415415412.

2145145140 is a `hidden beast` number, since 2 + 1 + 4 + 514 + 5 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 73939 + ... + 98778.

It is an arithmetic number, because the mean of its divisors is an integer number (72541560).

Almost surely, 22145145140 is an apocalyptic number.

2145145140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2145145140 is an abundant number, since it is smaller than the sum of its proper divisors (4818844620).

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

2145145140 is a wasteful number, since it uses less digits than its factorization.

2145145140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172758 (or 172750 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2145145140 is about 46315.7115890493. The cubic root of 2145145140 is about 1289.6906775928.

The spelling of 2145145140 in words is "two billion, one hundred forty-five million, one hundred forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 2070 2484 3105 4140 6210 12420 172717 345434 518151 690868 863585 1036302 1554453 1727170 2072604 2590755 3108906 3454340 3972491 4663359 5181510 6217812 7772265 7944982 9326718 10363020 11917473 15544530 15889964 18653436 19862455 23316795 23834946 31089060 35752419 39724910 46633590 47669892 59587365 71504838 79449820 93267180 107257257 119174730 143009676 178762095 214514514 238349460 357524190 429029028 536286285 715048380 1072572570 2145145140