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2144930131925 = 527219451920393
BaseRepresentation
bin11111001101100111110…
…011000110111111010101
321121001102212110101021222
4133031213303012333111
5240120304103210200
64321211200420125
7310652240204600
oct37154763067725
97531385411258
102144930131925
11757729161019
122a7850917645
1312735c661499
1475b5ab93337
153abdb953d85
hex1f367cc6fd5

2144930131925 has 72 divisors (see below), whose sum is σ = 3257672299200. Its totient is φ = 1393021566720.

The previous prime is 2144930131807. The next prime is 2144930131973. The reversal of 2144930131925 is 5291310394412.

It is not a de Polignac number, because 2144930131925 - 210 = 2144930130901 is a prime.

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, 105169529 + ... + 105189921.

It is an arithmetic number, because the mean of its divisors is an integer number (45245448600).

Almost surely, 22144930131925 is an apocalyptic number.

2144930131925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2144930131925 is a deficient number, since it is larger than the sum of its proper divisors (1112742167275).

2144930131925 is a wasteful number, since it uses less digits than its factorization.

2144930131925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24955 (or 24943 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The spelling of 2144930131925 in words is "two trillion, one hundred forty-four billion, nine hundred thirty million, one hundred thirty-one thousand, nine hundred twenty-five".

Divisors: 1 5 7 19 25 35 49 95 133 175 245 475 665 931 1225 3325 4519 4655 20393 22595 23275 31633 85861 101965 112975 142751 158165 221431 387467 429305 509825 601027 713755 790825 999257 1107155 1937335 2146525 2712269 3005135 3568775 4207189 4996285 5535775 9686675 13561345 15025675 18985883 21035945 24981425 67806725 92155967 94929415 105179725 460779835 474647075 645091769 1750963373 2303899175 3225458845 4515642383 8754816865 12256743611 16127294225 22578211915 43774084325 61283718055 85797205277 112891059575 306418590275 428986026385 2144930131925