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2142300032412 = 2233783165735083
BaseRepresentation
bin11111001011001011000…
…010000100110110011100
321120210122120110111000220
4133023023002010312130
5240044412302014122
64320054204321340
7310530122552151
oct37131302046634
97523576414026
102142300032412
117565a9578361
122a7237b43250
131270307b0197
147598b758228
153aad5aca25c
hex1f2cb084d9c

2142300032412 has 96 divisors (see below), whose sum is σ = 5198936854272. Its totient is φ = 685995111936.

The previous prime is 2142300032393. The next prime is 2142300032497.

It is a happy number.

2142300032412 is nontrivially palindromic in base 10.

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, 61046223 + ... + 61081305.

It is an arithmetic number, because the mean of its divisors is an integer number (54155592232).

Almost surely, 22142300032412 is an apocalyptic number.

It is an amenable number.

2142300032412 is an abundant number, since it is smaller than the sum of its proper divisors (3056636821860).

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

2142300032412 is a wasteful number, since it uses less digits than its factorization.

2142300032412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36867 (or 36865 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 21423000 and 32412, that added together give a palindrome (21455412).

The spelling of 2142300032412 in words is "two trillion, one hundred forty-two billion, three hundred million, thirty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 37 74 83 111 148 166 222 249 332 444 498 996 1657 3071 3314 4971 6142 6628 9213 9942 12284 18426 19884 35083 36852 61309 70166 105249 122618 137531 140332 183927 210498 245236 275062 367854 412593 420996 550124 735708 825186 1298071 1650372 2596142 2911889 3894213 5088647 5192284 5823778 7788426 8735667 10177294 11647556 15265941 15576852 17471334 20354588 30531882 34942668 58132531 61063764 107739893 116265062 174397593 215479786 232530124 323219679 348795186 430959572 646439358 697590372 1292878716 2150903647 4301807294 4825000073 6452710941 8603614588 9650000146 12905421882 14475000219 19300000292 25810843764 28950000438 57900000876 178525002701 357050005402 535575008103 714100010804 1071150016206 2142300032412