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14136065961616 = 241926128112
BaseRepresentation
bin1100110110110100111100…
…1100001010111010010000
31212001101122202000222101101
43031231033030022322100
53323101130341232431
650022004040514144
72656203615060154
oct315551714127220
955041582028341
1014136065961616
114560087788535
1217037b7a7b954
137b704377ab81
1436c2913d7064
15197aa1578961
hexcdb4f30ae90

14136065961616 has 135 divisors (see below), whose sum is σ = 29423921533929. Its totient is φ = 6578139081600.

The previous prime is 14136065961613. The next prime is 14136065961697. The reversal of 14136065961616 is 61616956063141.

The square root of 14136065961616 is 3759796.

It is a perfect power (a square), and thus also a powerful number.

14136065961616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 459678576016 + 13676387385600 = 677996^2 + 3698160^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14136065961613) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17430413851 + ... + 17430414661.

Almost surely, 214136065961616 is an apocalyptic number.

14136065961616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14136065961616 is the 3759796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14136065961616

14136065961616 is an abundant number, since it is smaller than the sum of its proper divisors (15287855572313).

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

14136065961616 is an frugal number, since it uses more digits than its factorization.

14136065961616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 55.

The spelling of 14136065961616 in words is "fourteen trillion, one hundred thirty-six billion, sixty-five million, nine hundred sixty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 19 38 61 76 122 152 244 304 361 488 722 811 976 1159 1444 1622 2318 2888 3244 3721 4636 5776 6488 7442 9272 12976 14884 15409 18544 22021 29768 30818 44042 49471 59536 61636 70699 88084 98942 123272 141398 176168 197884 246544 282796 292771 352336 395768 565592 585542 657721 791536 939949 1131184 1171084 1315442 1343281 1879898 2342168 2630884 2686562 3017731 3759796 4684336 5261768 5373124 6035462 7519592 10523536 10746248 12070924 12496699 15039184 17859031 21492496 24141848 24993398 35718062 40120981 48283696 49986796 57336889 71436124 80241962 99973592 114673778 142872248 160483924 199947184 229347556 237437281 285744496 320967848 458695112 474874562 641935696 762298639 917390224 949749124 1089400891 1524597278 1899498248 2178801782 2447379841 3049194556 3798996496 4357603564 4894759682 6098389112 8715207128 9789519364 12196778224 14483674141 17430414256 19579038728 28967348282 39158077456 46500216979 57934696564 93000433958 115869393128 186000867916 231738786256 372001735832 744003471664 883504122601 1767008245202 3534016490404 7068032980808 14136065961616