Search a number
-
+
342304411201431 = 3771424019541439
BaseRepresentation
bin100110111010100101111010…
…0110101011010111110010111
31122212222222111222002201122120
41031311023310311122332113
5324331303413231421211
63212004250422031023
7132046451261545020
oct11565136465327627
91585888458081576
10342304411201431
119a0835382a1598
1232484a7a878473
1311900223c17bb3
14607589c6d5c47
1529891cb114d06
hex13752f4d5af97

342304411201431 has 32 divisors (see below), whose sum is σ = 528955519795200. Its totient is φ = 192846744622560.

The previous prime is 342304411201397. The next prime is 342304411201469. The reversal of 342304411201431 is 134102114403243.

It is a happy number.

It is not a de Polignac number, because 342304411201431 - 214 = 342304411185047 is a prime.

It is a super-2 number, since 2×3423044112014312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 342304411201392 and 342304411201401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342304411201471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631941610 + ... + 632483048.

It is an arithmetic number, because the mean of its divisors is an integer number (16529859993600).

Almost surely, 2342304411201431 is an apocalyptic number.

342304411201431 is a deficient number, since it is larger than the sum of its proper divisors (186651108593769).

342304411201431 is a wasteful number, since it uses less digits than its factorization.

342304411201431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965539.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 342304411201431 its reverse (134102114403243), we get a palindrome (476406525604674).

The spelling of 342304411201431 in words is "three hundred forty-two trillion, three hundred four billion, four hundred eleven million, two hundred one thousand, four hundred thirty-one".

Divisors: 1 3 7 21 71 213 497 1491 424019 541439 1272057 1624317 2968133 3790073 8904399 11370219 30105349 38442169 90316047 115326507 210737443 269095183 632212329 807285549 229580423341 688741270023 1607062963387 4821188890161 16300210057211 48900630171633 114101470400477 342304411201431