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345602561430301 = 71573967584913553
BaseRepresentation
bin100111010010100101101110…
…1111010000101001100011101
31200022200021121201121220212221
41032211023131322011030131
5330244323021211232201
63223011342551425341
7132536650436124640
oct11645133572051435
91608607551556787
10345602561430301
11a01352500a609a
1232918112685251
1311aac24927b466
14614b378bbda57
1529e4db092c4a1
hex13a52dde8531d

345602561430301 has 32 divisors (see below), whose sum is σ = 397687632076800. Its totient is φ = 294197728720896.

The previous prime is 345602561430281. The next prime is 345602561430307. The reversal of 345602561430301 is 103034165206543.

It is not a de Polignac number, because 345602561430301 - 29 = 345602561429789 is a prime.

It is a super-2 number, since 2×3456025614303012 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345602561430307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25500071541 + ... + 25500085093.

It is an arithmetic number, because the mean of its divisors is an integer number (12427738502400).

Almost surely, 2345602561430301 is an apocalyptic number.

It is an amenable number.

345602561430301 is a deficient number, since it is larger than the sum of its proper divisors (52085070646499).

345602561430301 is a wasteful number, since it uses less digits than its factorization.

345602561430301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23533.

The product of its (nonzero) digits is 777600, while the sum is 43.

The spelling of 345602561430301 in words is "three hundred forty-five trillion, six hundred two billion, five hundred sixty-one million, four hundred thirty thousand, three hundred one".

Divisors: 1 7 157 1099 3967 5849 13553 27769 40943 94871 622819 918293 2127821 4359733 6428051 14894747 23202983 53764751 79271497 162420881 376353257 554900479 3642868331 8441065907 12445625029 25500078317 59087461349 87119375203 314470028599 2201290200193 49371794490043 345602561430301