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2313154422144 = 27322007946547
BaseRepresentation
bin100001101010010010101…
…111110110010110000000
322012010122201010202112100
4201222102233312112000
5300344320013002034
64530352023030400
7326056060113366
oct41522257662600
98163581122470
102313154422144
11812004405145
1231437a89b400
1313a18b751607
147dd58a77636
1540285443099
hex21a92bf6580

2313154422144 has 48 divisors (see below), whose sum is σ = 6656342806620. Its totient is φ = 771051473664.

The previous prime is 2313154422113. The next prime is 2313154422199. The reversal of 2313154422144 is 4412244513132.

2313154422144 is a `hidden beast` number, since 23 + 1 + 31 + 544 + 2 + 21 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2313154422099 and 2313154422108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1003972122 + ... + 1003974425.

Almost surely, 22313154422144 is an apocalyptic number.

2313154422144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2313154422144 is an abundant number, since it is smaller than the sum of its proper divisors (4343188384476).

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

2313154422144 is a wasteful number, since it uses less digits than its factorization.

2313154422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007946567 (or 2007946552 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 2313154422144 its reverse (4412244513132), we get a palindrome (6725398935276).

The spelling of 2313154422144 in words is "two trillion, three hundred thirteen billion, one hundred fifty-four million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2007946547 4015893094 6023839641 8031786188 12047679282 16063572376 18071518923 24095358564 32127144752 36143037846 48190717128 64254289504 72286075692 96381434256 128508579008 144572151384 192762868512 257017158016 289144302768 385525737024 578288605536 771051474048 1156577211072 2313154422144