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343422440141344 = 25233113421343853
BaseRepresentation
bin100111000010101110100010…
…0100011010111001000100000
31200000221212100022210112111121
41032011131010203113020200
5330003113124134010334
63214222031354222024
7132223311132666424
oct11605350443271040
91600855308715447
10343422440141344
119a474703500a23
12326256a0424914
131198179bc17045
1460b3a403a0b84
1529a8314788db4
hex13857448d7220

343422440141344 has 96 divisors (see below), whose sum is σ = 707814489118464. Its totient is φ = 163708875770880.

The previous prime is 343422440141293. The next prime is 343422440141353. The reversal of 343422440141344 is 443141044224343.

It is a self number, because there is not a number n which added to its sum of digits gives 343422440141344.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7831196922 + ... + 7831240774.

It is an arithmetic number, because the mean of its divisors is an integer number (7373067594984).

Almost surely, 2343422440141344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343422440141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353907244559232).

343422440141344 is an abundant number, since it is smaller than the sum of its proper divisors (364392048977120).

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

343422440141344 is a wasteful number, since it uses less digits than its factorization.

343422440141344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78410 (or 78402 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 43.

Adding to 343422440141344 its reverse (443141044224343), we get a palindrome (786563484365687).

The spelling of 343422440141344 in words is "three hundred forty-three trillion, four hundred twenty-two billion, four hundred forty million, one hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 311 368 622 736 1244 2488 4976 7153 9952 14306 28612 34213 43853 57224 68426 87706 114448 136852 175412 228896 273704 350824 547408 701648 786899 1008619 1094816 1403296 1573798 2017238 3147596 4034476 6295192 8068952 10640243 12590384 13638283 16137904 21280486 25180768 27276566 32275808 42560972 54553132 85121944 109106264 170243888 218212528 244725589 313680509 340487776 436425056 489451178 627361018 978902356 1254722036 1500342689 1957804712 2509444072 3000685378 3915609424 5018888144 6001370756 7831218848 10037776288 12002741512 24005483024 34507881847 48010966048 69015763694 138031527388 276063054776 466606576279 552126109552 933213152558 1104252219104 1866426305116 3732852610232 7465705220464 10731951254417 14931410440928 21463902508834 42927805017668 85855610035336 171711220070672 343422440141344