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23152444114254 = 23713103772753279
BaseRepresentation
bin1010100001110100110010…
…01101010000010101001110
310000222100111122020011102120
411100322121031100111032
511013312201143124004
6121124030324033410
74606465101615540
oct520723115202516
9100870448204376
1023152444114254
1174169951350a4
12271b122832866
13cbc35c856130
145a0827369690
152a23aca463d9
hex150e9935054e

23152444114254 has 128 divisors (see below), whose sum is σ = 57552466083840. Its totient is φ = 6045960161664.

The previous prime is 23152444114223. The next prime is 23152444114291. The reversal of 23152444114254 is 45241144425132.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 434524387 + ... + 434577665.

It is an arithmetic number, because the mean of its divisors is an integer number (449628641280).

Almost surely, 223152444114254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23152444114254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28776233041920).

23152444114254 is an abundant number, since it is smaller than the sum of its proper divisors (34400021969586).

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

23152444114254 is a wasteful number, since it uses less digits than its factorization.

23152444114254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61134.

The product of its digits is 614400, while the sum is 42.

Adding to 23152444114254 its reverse (45241144425132), we get a palindrome (68393588539386).

The spelling of 23152444114254 in words is "twenty-three trillion, one hundred fifty-two billion, four hundred forty-four million, one hundred fourteen thousand, two hundred fifty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 103 182 206 273 309 546 618 721 1339 1442 2163 2678 4017 4326 7727 8034 9373 15454 18746 23181 28119 46362 53279 54089 56238 100451 106558 108178 159837 162267 200902 301353 319674 324534 372953 602706 692627 703157 745906 795881 1118859 1385254 1406314 1591762 2077881 2109471 2237718 2387643 4155762 4218942 4775286 4848389 5487737 5571167 9696778 10346453 10975474 11142334 14545167 16463211 16713501 20692906 29090334 31039359 32926422 33427002 38414159 62078718 71340581 72425171 76828318 115242477 142681162 144850342 214021743 217275513 230484954 411686833 428043486 434551026 499384067 823373666 998768134 1235060499 1498152201 2470120998 2881807831 2996304402 5351928829 5763615662 8645423493 10703857658 16055786487 17290846986 32111572974 37463501803 42403743799 74927003606 84807487598 112390505409 127211231397 224781010818 254422462794 296826206593 551248669387 593652413186 890478619779 1102497338774 1653746008161 1780957239558 3307492016322 3858740685709 7717481371418 11576222057127 23152444114254