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2316454306144 = 251125711047737
BaseRepresentation
bin100001101101010111011…
…011111010000101100000
322012110011200110020101021
4201231113123322011200
5300423044300244034
64532055303015224
7326233616503426
oct41552733720540
98173150406337
102316454306144
1181344807a900
12314b3ba3a514
1313a5962c2bb4
148018d023116
15403c9ec16b4
hex21b576fa160

2316454306144 has 72 divisors (see below), whose sum is σ = 5021586113544. Its totient is φ = 1051088755200.

The previous prime is 2316454306013. The next prime is 2316454306163. The reversal of 2316454306144 is 4416034546132.

2316454306144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23164543061442 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2316454306144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1687044 + ... + 2734780.

It is an arithmetic number, because the mean of its divisors is an integer number (69744251577).

Almost surely, 22316454306144 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 2316454306144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510793056772).

2316454306144 is an abundant number, since it is smaller than the sum of its proper divisors (2705131807400).

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

2316454306144 is a wasteful number, since it uses less digits than its factorization.

2316454306144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048340 (or 1048321 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 43.

The spelling of 2316454306144 in words is "two trillion, three hundred sixteen billion, four hundred fifty-four million, three hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 571 968 1142 1936 2284 3872 4568 6281 9136 12562 18272 25124 50248 69091 100496 138182 200992 276364 552728 1047737 1105456 2095474 2210912 4190948 8381896 11525107 16763792 23050214 33527584 46100428 92200856 126776177 184401712 253552354 368803424 507104708 598257827 1014209416 1196515654 2028418832 2393031308 4056837664 4786062616 6580836097 9572125232 13161672194 19144250464 26323344388 52646688776 72389197067 105293377552 144778394134 210586755104 289556788268 579113576536 1158227153072 2316454306144