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2140212140 = 2251113277331
BaseRepresentation
bin111111110010001…
…0000101110101100
312112011012001010022
41333210100232230
513340343242030
6552212101312
7104015334353
oct17744205654
95464161108
102140212140
119a9104070
124b8904838
1328152a121
1416435699a
15c7d5bde5
hex7f910bac

2140212140 has 48 divisors (see below), whose sum is σ = 4907395584. Its totient is φ = 777566400.

The previous prime is 2140212101. The next prime is 2140212149. The reversal of 2140212140 is 412120412.

It is not an unprimeable number, because it can be changed into a prime (2140212149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288275 + ... + 295605.

It is an arithmetic number, because the mean of its divisors is an integer number (102237408).

Almost surely, 22140212140 is an apocalyptic number.

2140212140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140212140 is an abundant number, since it is smaller than the sum of its proper divisors (2767183444).

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

2140212140 is a wasteful number, since it uses less digits than its factorization.

2140212140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8678 (or 8676 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2140212140 is about 46262.4268710581. The cubic root of 2140212140 is about 1288.7013230768.

Adding to 2140212140 its reverse (412120412), we get a palindrome (2552332552).

The spelling of 2140212140 in words is "two billion, one hundred forty million, two hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1327 2654 5308 6635 7331 13270 14597 14662 26540 29194 29324 36655 58388 72985 73310 80641 145970 146620 161282 291940 322564 403205 806410 1612820 9728237 19456474 38912948 48641185 97282370 107010607 194564740 214021214 428042428 535053035 1070106070 2140212140