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2345414035041 = 3371117303721851
BaseRepresentation
bin100010001000010101100…
…100100000011001100001
322022012220221021220002000
4202020111210200121201
5301411401443110131
64553245054314213
7331310355234060
oct42102544403141
98265827256060
102345414035041
11824759094850
1231a6824b8969
1314022ccbaa5c
148173923a1d7
1541022611ce6
hex22215920661

2345414035041 has 128 divisors (see below), whose sum is σ = 4588626309120. Its totient is φ = 1146296448000.

The previous prime is 2345414035033. The next prime is 2345414035057. The reversal of 2345414035041 is 1405304145432.

2345414035041 is a `hidden beast` number, since 2 + 3 + 4 + 5 + 4 + 140 + 3 + 504 + 1 = 666.

It is not a de Polignac number, because 2345414035041 - 23 = 2345414035033 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2345414034987 and 2345414035005.

It is not an unprimeable number, because it can be changed into a prime (2345414035061) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 107325766 + ... + 107347616.

It is an arithmetic number, because the mean of its divisors is an integer number (35848643040).

Almost surely, 22345414035041 is an apocalyptic number.

2345414035041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2345414035041 is a deficient number, since it is larger than the sum of its proper divisors (2243212274079).

2345414035041 is a wasteful number, since it uses less digits than its factorization.

2345414035041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24932 (or 24926 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 2345414035041 in words is "two trillion, three hundred forty-five billion, four hundred fourteen million, thirty-five thousand, forty-one".

Divisors: 1 3 7 9 11 17 21 27 33 51 63 77 99 119 153 187 189 231 297 357 459 561 693 1071 1309 1683 2079 3037 3213 3927 5049 9111 11781 21259 21851 27333 33407 35343 51629 63777 65553 81999 100221 152957 154887 191331 196659 233849 240361 300663 361403 371467 458871 464661 567919 573993 589977 701547 721083 901989 1084209 1114401 1376613 1393983 1682527 1703757 2104641 2163249 2600269 3252627 3343203 3975433 4086137 4129839 5047581 5111271 6313923 6489747 7800807 9757881 10029609 11926299 12258411 15142743 15333813 23402421 28602959 35778897 36775233 45428229 66361487 70207263 85808877 107336691 110325699 199084461 257426631 464530409 597253383 729976357 772279893 1128145279 1393591227 1791760149 2189929071 3384435837 4180773681 5109834499 6569787213 7897016953 10153307511 12409598069 12542321043 15329503497 19709361639 23691050859 30459922533 37228794207 45988510491 71073152577 86867186483 111686382621 137965531473 213219457731 260601559449 335059147863 781804678347 2345414035041