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2381340031875 = 32547232629499
BaseRepresentation
bin100010101001110010111…
…011010011101110000011
322102122122200101121212100
4202221302323103232003
5303003441022010000
65021550021201443
7334021553202450
oct42516273235603
98378580347770
102381340031875
11838a14403a22
12325629b60283
1314373700ac4c
148338670c827
1541e26606a00
hex22a72ed3b83

2381340031875 has 120 divisors (see below), whose sum is σ = 5125884192000. Its totient is φ = 1041281208000.

The previous prime is 2381340031867. The next prime is 2381340031907. The reversal of 2381340031875 is 5781300431832.

2381340031875 is a `hidden beast` number, since 238 + 1 + 3 + 400 + 3 + 1 + 8 + 7 + 5 = 666.

It is not a de Polignac number, because 2381340031875 - 23 = 2381340031867 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2381340031875.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 409125 + ... + 2220374.

It is an arithmetic number, because the mean of its divisors is an integer number (42715701600).

Almost surely, 22381340031875 is an apocalyptic number.

2381340031875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2381340031875 is an abundant number, since it is smaller than the sum of its proper divisors (2744544160125).

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

2381340031875 is a wasteful number, since it uses less digits than its factorization.

2381340031875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629555 (or 2629537 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2381340031875 in words is "two trillion, three hundred eighty-one billion, three hundred forty million, thirty-one thousand, eight hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 23 25 35 45 63 69 75 105 115 125 161 175 207 225 315 345 375 483 525 575 625 805 875 1035 1125 1449 1575 1725 1875 2415 2625 2875 4025 4375 5175 5625 7245 7875 8625 12075 13125 14375 20125 25875 36225 39375 43125 60375 100625 129375 181125 301875 905625 2629499 7888497 13147495 18406493 23665491 39442485 55219479 60478477 65737475 92032465 118327455 165658437 181435431 197212425 276097395 302392385 328687375 423349339 460162325 544306293 591637275 828292185 907177155 986062125 1270048017 1380486975 1511961925 1643436875 2116746695 2300811625 2721531465 2958186375 3810144051 4141460925 4535885775 4930310625 6350240085 6902434875 7559809625 10583733475 11504058125 13607657325 14790931875 19050720255 20707304625 22679428875 31751200425 34512174375 37799048125 52918667375 68038286625 95253601275 103536523125 113397144375 158756002125 264593336875 340191433125 476268006375 793780010625 2381340031875