Search a number
-
+
341336365600516 = 2211131813319960473
BaseRepresentation
bin100110110011100011001000…
…0110100100000111100000100
31122202120102211012111222001221
41031213012100310200330010
5324214423334043204031
63205543432301130124
7131616511224653236
oct11547062064407404
91582512735458057
10341336365600516
119983aa37840690
1232349336259944
131185cb5bbb3810
146040aa80c2256
15296de1ed7da11
hex1367190d20f04

341336365600516 has 96 divisors (see below), whose sum is σ = 707777576827776. Its totient is φ = 141996488832000.

The previous prime is 341336365600511. The next prime is 341336365600523. The reversal of 341336365600516 is 615006563633143.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (341336365600511) 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, 29288856 + ... + 39249328.

It is an arithmetic number, because the mean of its divisors is an integer number (7372683091956).

Almost surely, 2341336365600516 is an apocalyptic number.

It is an amenable number.

341336365600516 is an abundant number, since it is smaller than the sum of its proper divisors (366441211227260).

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

341336365600516 is a wasteful number, since it uses less digits than its factorization.

341336365600516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9961013 (or 9961011 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 52.

The spelling of 341336365600516 in words is "three hundred forty-one trillion, three hundred thirty-six billion, three hundred sixty-five million, six hundred thousand, five hundred sixteen".

Divisors: 1 2 4 11 13 22 26 44 52 143 181 286 331 362 572 662 724 1324 1991 2353 3641 3982 4303 4706 7282 7964 8606 9412 14564 17212 25883 47333 51766 59911 94666 103532 119822 189332 239644 659021 778843 1318042 1557686 2636084 3115372 8567273 9960473 17134546 19920946 34269092 39841892 109565203 129486149 219130406 258972298 438260812 517944596 1424347639 1802845613 2848695278 3296916563 3605691226 5697390556 6593833126 7211382452 13187666252 19831301743 23436992969 36266082193 39662603486 42859915319 46873985938 72532164386 79325206972 85719830638 93747971876 145064328772 171439661276 257806922659 471459068509 515613845318 596741897903 942918137018 1031227690636 1193483795806 1885836274036 2386967591612 6564160876933 7757644672739 13128321753866 15515289345478 26256643507732 31030578690956 85334091400129 170668182800258 341336365600516