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2320452446144 = 267199227114661
BaseRepresentation
bin100001110001000101101…
…111100110011111000000
322012211111022122210101112
4201301011233212133000
5301004241311234034
64534000125022452
7326434655232320
oct41610557463700
98184438583345
102320452446144
11815109a03638
123158769b4a28
1313aa82712b01
148044c011280
1540560eca7ce
hex21c45be67c0

2320452446144 has 112 divisors (see below), whose sum is σ = 5312244595200. Its totient is φ = 985114690560.

The previous prime is 2320452446083. The next prime is 2320452446153. The reversal of 2320452446144 is 4416442540232.

It is a tau number, because it is divible by the number of its divisors (112).

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, 20180174 + ... + 20294834.

Almost surely, 22320452446144 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 2320452446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656122297600).

2320452446144 is an abundant number, since it is smaller than the sum of its proper divisors (2991792149056).

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

2320452446144 is a wasteful number, since it uses less digits than its factorization.

2320452446144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115106 (or 115096 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 41.

Adding to 2320452446144 its reverse (4416442540232), we get a palindrome (6736894986376).

The spelling of 2320452446144 in words is "two trillion, three hundred twenty billion, four hundred fifty-two million, four hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 199 224 227 398 448 454 796 908 1393 1589 1592 1816 2786 3178 3184 3632 5572 6356 6368 7264 11144 12712 12736 14528 22288 25424 44576 45173 50848 89152 90346 101696 114661 180692 229322 316211 361384 458644 632422 722768 802627 917288 1264844 1445536 1605254 1834576 2529688 2891072 3210508 3669152 5059376 6421016 7338304 10118752 12842032 20237504 22817539 25684064 26028047 45635078 51368128 52056094 91270156 104112188 159722773 182196329 182540312 208224376 319445546 364392658 365080624 416448752 638891092 728785316 730161248 832897504 1277782184 1457570632 1460322496 1665795008 2555564368 2915141264 5111128736 5179581353 5830282528 10222257472 10359162706 11660565056 20718325412 36257069471 41436650824 72514138942 82873301648 145028277884 165746603296 290056555768 331493206592 580113111536 1160226223072 2320452446144