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2330041110144 = 273111042752903
BaseRepresentation
bin100001111010000001010…
…001011100111010000000
322020202020120102101121020
4201322001101130322000
5301133411011011034
64542223415225440
7330224406440046
oct41720121347200
98222216371536
102330041110144
1181918a50a840
123176b2078280
1313b95011cca7
1480abb69c396
1540922bd6249
hex21e8145ce80

2330041110144 has 128 divisors (see below), whose sum is σ = 6752598842880. Its totient is φ = 705992002560.

The previous prime is 2330041110127. The next prime is 2330041110149. The reversal of 2330041110144 is 4410111400332.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×23300411101442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2330041110149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44017197 + ... + 44070099.

It is an arithmetic number, because the mean of its divisors is an integer number (52754678460).

Almost surely, 22330041110144 is an apocalyptic number.

2330041110144 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 2330041110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376299421440).

2330041110144 is an abundant number, since it is smaller than the sum of its proper divisors (4422557732736).

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

2330041110144 is a wasteful number, since it uses less digits than its factorization.

2330041110144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63358 (or 63346 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2330041110144 its reverse (4410111400332), we get a palindrome (6740152510476).

The spelling of 2330041110144 in words is "two trillion, three hundred thirty billion, forty-one million, one hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 10427 20854 31281 41708 52903 62562 83416 105806 114697 125124 158709 166832 211612 229394 250248 317418 333664 344091 423224 458788 500496 581933 634836 667328 688182 846448 917576 1000992 1163866 1269672 1334656 1376364 1692896 1745799 1835152 2001984 2327732 2539344 2752728 3385792 3491598 3670304 4003968 4655464 5078688 5505456 6771584 6983196 7340608 9310928 10157376 11010912 13966392 14681216 18621856 20314752 22021824 27932784 37243712 44043648 55865568 74487424 111731136 223462272 551619581 1103239162 1654858743 2206478324 3309717486 4412956648 6067815391 6619434972 8825913296 12135630782 13238869944 17651826592 18203446173 24271261564 26477739888 35303653184 36406892346 48542523128 52955479776 70607306368 72813784692 97085046256 105910959552 145627569384 194170092512 211821919104 291255138768 388340185024 582510277536 776680370048 1165020555072 2330041110144