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345165641403 = 3111737148311213
BaseRepresentation
bin1010000010111010111…
…10011011011010111011
31012222221012001100002120
411001131132123122323
521123344401011103
6422322241332323
733636345354222
oct5013536333273
91188835040076
10345165641403
11123425008170
1256a8b3370a3
132671a1571cb
14129c57abcb9
158ea291b253
hex505d79b6bb

345165641403 has 64 divisors (see below), whose sum is σ = 546376223232. Its totient is φ = 191418439680.

The previous prime is 345165641371. The next prime is 345165641407. The reversal of 345165641403 is 304146561543.

It is a happy number.

It is not a de Polignac number, because 345165641403 - 25 = 345165641371 is a prime.

It is not an unprimeable number, because it can be changed into a prime (345165641407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30777025 + ... + 30788237.

It is an arithmetic number, because the mean of its divisors is an integer number (8537128488).

Almost surely, 2345165641403 is an apocalyptic number.

345165641403 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

345165641403 is a deficient number, since it is larger than the sum of its proper divisors (201210581829).

345165641403 is a wasteful number, since it uses less digits than its factorization.

345165641403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12764.

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 345165641403 in words is "three hundred forty-five billion, one hundred sixty-five million, six hundred forty-one thousand, four hundred three".

Divisors: 1 3 11 17 33 37 51 111 187 407 561 629 1221 1483 1887 4449 6919 11213 16313 20757 25211 33639 48939 54871 75633 123343 164613 190621 277321 370029 414881 571863 603581 831963 932807 1244643 1810743 2096831 2798421 4563691 6290493 7052977 10260877 13691073 16628879 21158931 30782631 49886637 77582747 182917669 232748241 282690943 548753007 615268523 848072829 1845805569 3109600373 6767953753 9328801119 10459564891 20303861259 31378694673 115055213801 345165641403