Search a number
-
+
341300635615140 = 223514274421901657
BaseRepresentation
bin100110110011010010011111…
…1001001011011111110100100
31122202110000121010020122110020
41031212210333021123332210
5324213332200204141030
63205515203015355140
7131614104630050535
oct11546447711337644
91582400533218406
10341300635615140
119982687212a853
1232342424382ab0
1311859686682336
14603d078a7468c
15296d02d1a6510
hex136693f25bfa4

341300635615140 has 96 divisors (see below), whose sum is σ = 956528837599104. Its totient is φ = 90929050168320.

The previous prime is 341300635615127. The next prime is 341300635615153. The reversal of 341300635615140 is 41516536003143.

It is an interprime number because it is at equal distance from previous prime (341300635615127) and next prime (341300635615153).

It is a super-2 number, since 2×3413006356151402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 341300635615092 and 341300635615101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378075192 + ... + 378976848.

It is an arithmetic number, because the mean of its divisors is an integer number (9963842058324).

Almost surely, 2341300635615140 is an apocalyptic number.

341300635615140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

341300635615140 is an abundant number, since it is smaller than the sum of its proper divisors (615228201983964).

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

341300635615140 is a wasteful number, since it uses less digits than its factorization.

341300635615140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907517 (or 907515 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 341300635615140 in words is "three hundred forty-one trillion, three hundred billion, six hundred thirty-five million, six hundred fifteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1427 2854 4281 4421 5708 7135 8562 8842 13263 14270 17124 17684 21405 22105 26526 28540 42810 44210 53052 66315 85620 88420 132630 265260 901657 1803314 2704971 3606628 4508285 5409942 6308767 9016570 10819884 12617534 13524855 18033140 18926301 25235068 27049710 31543835 37852602 54099420 63087670 75705204 94631505 126175340 189263010 378526020 1286664539 2573329078 3859993617 3986225597 5146658156 6433322695 7719987234 7972451194 11958676791 12866645390 15439974468 15944902388 19299968085 19931127985 23917353582 25733290780 38599936170 39862255970 47834707164 59793383955 77199872340 79724511940 119586767910 239173535820 5688343926919 11376687853838 17065031780757 22753375707676 28441719634595 34130063561514 56883439269190 68260127123028 85325158903785 113766878538380 170650317807570 341300635615140