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2344040320401 = 331319733479513
BaseRepresentation
bin100010000111000011101…
…100001100110110010001
322022002101012101221212000
4202013003230030312101
5301401043310223101
64552500503024213
7331231334656113
oct42070354146621
98262335357760
102344040320401
1182411371969a
1231a35a43b069
13140071513560
1481648a0b3b3
1540e91c10486
hex221c3b0cd91

2344040320401 has 64 divisors (see below), whose sum is σ = 3941988691200. Its totient is φ = 1364698824192.

The previous prime is 2344040320381. The next prime is 2344040320409. The reversal of 2344040320401 is 1040230404432.

It is a happy number.

2344040320401 is a `hidden beast` number, since 234 + 4 + 0 + 4 + 0 + 3 + 20 + 401 = 666.

It is not a de Polignac number, because 2344040320401 - 229 = 2343503449489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2344040320409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4648621 + ... + 5128133.

It is an arithmetic number, because the mean of its divisors is an integer number (61593573300).

Almost surely, 22344040320401 is an apocalyptic number.

It is an amenable number.

2344040320401 is a deficient number, since it is larger than the sum of its proper divisors (1597948370799).

2344040320401 is a wasteful number, since it uses less digits than its factorization.

2344040320401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480287 (or 480281 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2344040320401 its reverse (1040230404432), we get a palindrome (3384270724833).

The spelling of 2344040320401 in words is "two trillion, three hundred forty-four billion, forty million, three hundred twenty thousand, four hundred one".

Divisors: 1 3 9 13 19 27 39 57 117 171 247 351 513 733 741 2199 2223 6597 6669 9529 13927 19791 28587 41781 85761 125343 181051 257283 376029 479513 543153 1438539 1629459 4315617 4888377 6233669 9110747 12946851 18701007 27332241 56103021 81996723 118439711 168309063 245990169 351483029 355319133 1054449087 1065957399 3163347261 3197872197 4569279377 6678177551 9490041783 13707838131 20034532653 41123514393 60103597959 86816308163 123370543179 180310793877 260448924489 781346773467 2344040320401