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2242140239988 = 2232113192462797
BaseRepresentation
bin100000101000001001111…
…110001111100001110100
321221100100121102112021200
4200220021332033201310
5243213400400134423
64434005222412500
7320663216404425
oct40501176174164
97840317375250
102242140239988
11794982793000
12302660291130
1313358217279c
147a73d4a164c
153d4cac9dd43
hex20a09f8f874

2242140239988 has 144 divisors (see below), whose sum is σ = 6562076015040. Its totient is φ = 643676362560.

The previous prime is 2242140239951. The next prime is 2242140240013. The reversal of 2242140239988 is 8899320412422.

2242140239988 is a `hidden beast` number, since 2 + 242 + 1 + 4 + 0 + 2 + 399 + 8 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320995 + ... + 2141802.

Almost surely, 22242140239988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242140239988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281038007520).

2242140239988 is an abundant number, since it is smaller than the sum of its proper divisors (4319935775052).

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

2242140239988 is a wasteful number, since it uses less digits than its factorization.

2242140239988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462859 (or 2462832 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 2242140239988 in words is "two trillion, two hundred forty-two billion, one hundred forty million, two hundred thirty-nine thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 121 132 171 198 209 228 242 342 363 396 418 484 627 684 726 836 1089 1254 1331 1452 1881 2178 2299 2508 2662 3762 3993 4356 4598 5324 6897 7524 7986 9196 11979 13794 15972 20691 23958 25289 27588 41382 47916 50578 75867 82764 101156 151734 227601 303468 455202 910404 2462797 4925594 7388391 9851188 14776782 22165173 27090767 29553564 44330346 46793143 54181534 81272301 88660692 93586286 108363068 140379429 162544602 187172572 243816903 280758858 297998437 325089204 421138287 487633806 514724573 561517716 595996874 842276574 893995311 975267612 1029449146 1191993748 1544173719 1684553148 1787990622 2058898292 2681985933 3088347438 3277982807 3575981244 4632521157 5363971866 5661970303 6176694876 6555965614 9265042314 9833948421 10727943732 11323940606 13111931228 16985910909 18530084628 19667896842 22647881212 29501845263 33971821818 39335793684 50957732727 59003690526 62281673333 67943643636 101915465454 118007381052 124563346666 186845019999 203830930908 249126693332 373690039998 560535059997 747380079996 1121070119994 2242140239988