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345425800041 = 3278367797577
BaseRepresentation
bin1010000011011001111…
…10110110101101101001
31020000121022120202122200
411001230332312231221
521124413001100131
6422404133410413
733645654566220
oct5015476665551
91200538522580
10345425800041
1112354894a203
1256b42499a09
132675c01572a
1412a0c16dcb7
158eba6aa2e6
hex506cfb6b69

345425800041 has 48 divisors (see below), whose sum is σ = 577955274624. Its totient is φ = 194717981952.

The previous prime is 345425800039. The next prime is 345425800051. The reversal of 345425800041 is 140008524543.

It is a happy number.

345425800041 is a `hidden beast` number, since 34 + 5 + 4 + 2 + 580 + 0 + 0 + 41 = 666.

It is not a de Polignac number, because 345425800041 - 21 = 345425800039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 345425799969 and 345425800005.

It is not an unprimeable number, because it can be changed into a prime (345425800001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3491245 + ... + 3588821.

It is an arithmetic number, because the mean of its divisors is an integer number (12040734888).

Almost surely, 2345425800041 is an apocalyptic number.

It is an amenable number.

345425800041 is a deficient number, since it is larger than the sum of its proper divisors (232529474583).

345425800041 is a wasteful number, since it uses less digits than its factorization.

345425800041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98350 (or 98347 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 345425800041 in words is "three hundred forty-five billion, four hundred twenty-five million, eight hundred thousand, forty-one".

Divisors: 1 3 7 9 21 63 83 249 581 677 747 1743 2031 4739 5229 6093 14217 42651 56191 97577 168573 292731 393337 505719 683039 878193 1180011 2049117 3540033 6147351 8098891 24296673 56692237 66059629 72890019 170076711 198178887 462417403 510230133 594536661 1387252209 4161756627 5482949207 16448847621 38380644449 49346542863 115141933347 345425800041