Search a number
-
+
2320544665344 = 28343471495073
BaseRepresentation
bin100001110001001011001…
…111011000111100000000
322012211201202012000100110
4201301023033120330000
5301004433413242334
64534013221351320
7326440155130053
oct41611317307400
98184652160313
102320544665344
11815156a70254
123158a1868540
1313aa98860b99
148045a378a9a
1540569144ae9
hex21c4b3d8f00

2320544665344 has 144 divisors (see below), whose sum is σ = 6454126812672. Its totient is φ = 739450650624.

The previous prime is 2320544665339. The next prime is 2320544665433. The reversal of 2320544665344 is 4435664450232.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2320544665293 and 2320544665302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 804592 + ... + 2299664.

It is an arithmetic number, because the mean of its divisors is an integer number (44820325088).

Almost surely, 22320544665344 is an apocalyptic number.

2320544665344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2320544665344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227063406336).

2320544665344 is an abundant number, since it is smaller than the sum of its proper divisors (4133582147328).

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

2320544665344 is a wasteful number, since it uses less digits than its factorization.

2320544665344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495182 (or 1495168 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 48.

The spelling of 2320544665344 in words is "two trillion, three hundred twenty billion, five hundred forty-four million, six hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 47 48 64 86 94 96 128 129 141 172 188 192 256 258 282 344 376 384 516 564 688 752 768 1032 1128 1376 1504 2021 2064 2256 2752 3008 4042 4128 4512 5504 6016 6063 8084 8256 9024 11008 12032 12126 16168 16512 18048 24252 32336 33024 36096 48504 64672 97008 129344 194016 258688 388032 517376 776064 1495073 1552128 2990146 4485219 5980292 8970438 11960584 17940876 23921168 35881752 47842336 64288139 70268431 71763504 95684672 128576278 140536862 143527008 191369344 192864417 210805293 257152556 281073724 287054016 382738688 385728834 421610586 514305112 562147448 574108032 771457668 843221172 1028610224 1124294896 1148216064 1542915336 1686442344 2057220448 2248589792 3021542533 3085830672 3372884688 4114440896 4497179584 6043085066 6171661344 6745769376 8228881792 8994359168 9064627599 12086170132 12343322688 13491538752 16457763584 17988718336 18129255198 24172340264 24686645376 26983077504 36258510396 48344680528 49373290752 53966155008 72517020792 96689361056 145034041584 193378722112 290068083168 386757444224 580136166336 773514888448 1160272332672 2320544665344