Search a number
-
+
345442352525124 = 2232291201104668463
BaseRepresentation
bin100111010001011011001000…
…0101101100110111101000100
31200022002222002111022021212020
41032202312100231212331010
5330234211414221300444
63222410005334523140
7132522246344654511
oct11642662055467504
91608088074267766
10345442352525124
11a0083308378428
12328b1060b064b0
1311a9a0c695a10a
1461436db64a308
1529e0b35977119
hex13a2d90b66f44

345442352525124 has 48 divisors (see below), whose sum is σ = 810226019608320. Its totient is φ = 114549164812800.

The previous prime is 345442352525087. The next prime is 345442352525177. The reversal of 345442352525124 is 421525253244543.

It is a super-3 number, since 3×3454423525251243 (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49033884 + ... + 55634579.

It is an arithmetic number, because the mean of its divisors is an integer number (16879708741840).

Almost surely, 2345442352525124 is an apocalyptic number.

It is an amenable number.

345442352525124 is an abundant number, since it is smaller than the sum of its proper divisors (464783667083196).

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

345442352525124 is a wasteful number, since it uses less digits than its factorization.

345442352525124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104669900 (or 104669898 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 51.

The spelling of 345442352525124 in words is "three hundred forty-five trillion, four hundred forty-two billion, three hundred fifty-two million, five hundred twenty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 229 458 687 916 1201 1374 2402 2748 3603 4804 7206 14412 275029 550058 825087 1100116 1650174 3300348 104668463 209336926 314005389 418673852 628010778 1256021556 23969078027 47938156054 71907234081 95876312108 125706824063 143814468162 251413648126 287628936324 377120472189 502827296252 754240944378 1508481888756 28786862710427 57573725420854 86360588131281 115147450841708 172721176262562 345442352525124