Search a number
-
+
345544410030100 = 225252312619523573
BaseRepresentation
bin100111010010001010101001…
…1110100000110000000010100
31200022110201112001111201022221
41032210111103310012000110
5330242344422431430400
63222524524401232124
7132532521414311011
oct11644252364060024
91608421461451287
10345544410030100
11a011261a157466
12329089a3932644
1311aa690c7c9308
14614861da54708
1529e360a632c1a
hex13a4553d06014

345544410030100 has 72 divisors (see below), whose sum is σ = 751326051187040. Its totient is φ = 137942289636480.

The previous prime is 345544410030073. The next prime is 345544410030139. The reversal of 345544410030100 is 1030014445543.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 659711914 + ... + 660235486.

Almost surely, 2345544410030100 is an apocalyptic number.

It is an amenable number.

345544410030100 is an abundant number, since it is smaller than the sum of its proper divisors (405781641156940).

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

345544410030100 is a wasteful number, since it uses less digits than its factorization.

345544410030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536729 (or 536722 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 345544410030100 its reverse (1030014445543), we get a palindrome (346574424475643).

The spelling of 345544410030100 in words is "three hundred forty-five trillion, five hundred forty-four billion, four hundred ten million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 523 1046 2092 2615 5230 10460 12619 13075 25238 26150 50476 52300 63095 126190 252380 315475 523573 630950 1047146 1261900 2094292 2617865 5235730 6599737 10471460 13089325 13199474 26178650 26398948 32998685 52357300 65997370 131994740 164993425 273828679 329986850 547657358 659973700 1095314716 1369143395 2738286790 5476573580 6606967687 6845716975 13213935374 13691433950 26427870748 27382867900 33034838435 66069676870 132139353740 165174192175 330348384350 660696768700 3455444100301 6910888200602 13821776401204 17277220501505 34554441003010 69108882006020 86386102507525 172772205015050 345544410030100