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344641745226216 = 23379491849397687
BaseRepresentation
bin100111001011100110010100…
…0110011001000100111101000
31200012021102120210102120101110
41032113030220303020213220
5330133102243234214331
63220554122041550320
7132410354505133644
oct11627145063104750
91605242523376343
10344641745226216
119a8a481a430009
12327a1a671a53a0
1311a3c766c2a899
146116a6c79bc24
1529c9dc91c4946
hex1397328cc89e8

344641745226216 has 64 divisors (see below), whose sum is σ = 861768172944000. Its totient is φ = 114858742411008.

The previous prime is 344641745226211. The next prime is 344641745226283. The reversal of 344641745226216 is 612622547146443.

It is not an unprimeable number, because it can be changed into a prime (344641745226211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3527971725 + ... + 3528069411.

It is an arithmetic number, because the mean of its divisors is an integer number (13465127702250).

Almost surely, 2344641745226216 is an apocalyptic number.

It is an amenable number.

344641745226216 is an abundant number, since it is smaller than the sum of its proper divisors (517126427717784).

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

344641745226216 is a wasteful number, since it uses less digits than its factorization.

344641745226216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124138 (or 124134 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 57.

The spelling of 344641745226216 in words is "three hundred forty-four trillion, six hundred forty-one billion, seven hundred forty-five million, two hundred twenty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 7949 15898 18493 23847 31796 36986 47694 55479 63592 73972 95388 97687 110958 147944 190776 195374 221916 293061 390748 443832 586122 781496 1172244 2344488 147000857 294001714 441002571 588003428 776513963 882005142 1176006856 1553027926 1764010284 1806525691 2329541889 3106055852 3528020568 3613051382 4659083778 5419577073 6212111704 7226102764 9318167556 10839154146 14452205528 18636335112 21678308292 43356616584 14360072717759 28720145435518 43080218153277 57440290871036 86160436306554 114880581742072 172320872613108 344641745226216