Search a number
-
+
345442685456 = 241117711626133
BaseRepresentation
bin1010000011011011111…
…11010001001000010000
31020000122111100122002102
411001231333101020100
521124431311413311
6422405535335532
733646251243641
oct5015577211020
91200574318072
10345442685456
111235574324a0
1256b480815a8
13267626782bb
1412a104c76c8
158ebbde343b
hex506dfd1210

345442685456 has 80 divisors (see below), whose sum is σ = 783978715008. Its totient is φ = 145701427200.

The previous prime is 345442685447. The next prime is 345442685461. The reversal of 345442685456 is 654586244543.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 600635 + ... + 1025498.

Almost surely, 2345442685456 is an apocalyptic number.

It is an amenable number.

345442685456 is an abundant number, since it is smaller than the sum of its proper divisors (438536029552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345442685456 is a wasteful number, since it uses less digits than its factorization.

345442685456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626240 (or 1626234 counting only the distinct ones).

The product of its digits is 55296000, while the sum is 56.

The spelling of 345442685456 in words is "three hundred forty-five billion, four hundred forty-two million, six hundred eighty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 71 88 136 142 176 187 272 284 374 568 748 781 1136 1207 1496 1562 2414 2992 3124 4828 6248 9656 12496 13277 19312 26554 53108 106216 212432 1626133 3252266 6504532 13009064 17887463 26018128 27644261 35774926 55288522 71549852 110577044 115455443 143099704 221154088 230910886 286199408 304086871 442308176 461821772 608173742 923643544 1216347484 1270009873 1847287088 1962742531 2432694968 2540019746 3925485062 4865389936 5080039492 7850970124 10160078984 15701940248 20320157968 21590167841 31403880496 43180335682 86360671364 172721342728 345442685456