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2334342310144 = 28131831383083
BaseRepresentation
bin100001111110000001101…
…001001110100100000000
322021011100022212222202221
4201332001221032210000
5301221213112411034
64544214305020424
7330436115151535
oct41760151164400
98234308788687
102334342310144
1181aa97417a89
123184b2624714
1313c18726c750
1480da8a18d8c
1540ac5605bb4
hex21f81a4e900

2334342310144 has 72 divisors (see below), whose sum is σ = 5020747938752. Its totient is φ = 1076797532160.

The previous prime is 2334342310141. The next prime is 2334342310189. The reversal of 2334342310144 is 4410132434332.

It is not an unprimeable number, because it can be changed into a prime (2334342310141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5902027 + ... + 6285109.

Almost surely, 22334342310144 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 2334342310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510373969376).

2334342310144 is an abundant number, since it is smaller than the sum of its proper divisors (2686405628608).

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

2334342310144 is a wasteful number, since it uses less digits than its factorization.

2334342310144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384943 (or 384929 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 2334342310144 its reverse (4410132434332), we get a palindrome (6744474744476).

The spelling of 2334342310144 in words is "two trillion, three hundred thirty-four billion, three hundred forty-two million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 1831 3328 3662 7324 14648 23803 29296 47606 58592 95212 117184 190424 234368 380848 383083 468736 761696 766166 1523392 1532332 3046784 3064664 4980079 6093568 6129328 9960158 12258656 19920316 24517312 39840632 49034624 79681264 98069248 159362528 318725056 637450112 701424973 1274900224 1402849946 2805699892 5611399784 9118524649 11222799568 18237049298 22445599136 36474098596 44891198272 72948197192 89782396544 145896394384 179564793088 291792788768 583585577536 1167171155072 2334342310144