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13114340134320 = 2435115147474443
BaseRepresentation
bin1011111011010110101110…
…0101011100110110110000
31201102201101220122011200010
42332311223211130312300
53204331132033244240
643520351130254520
72522323400612565
oct276655345346660
951381356564603
1013114340134320
1141a684012aa77
121579791b87440
137418a53b7529
14334a477bc86c
1517b2027e0280
hexbed6b95cdb0

13114340134320 has 80 divisors (see below), whose sum is σ = 40689776259072. Its totient is φ = 3494118931200.

The previous prime is 13114340134283. The next prime is 13114340134327. The reversal of 13114340134320 is 2343104341131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13114340134327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23460982 + ... + 24013461.

Almost surely, 213114340134320 is an apocalyptic number.

13114340134320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13114340134320 is an abundant number, since it is smaller than the sum of its proper divisors (27575436124752).

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

13114340134320 is a wasteful number, since it uses less digits than its factorization.

13114340134320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47475610 (or 47475604 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 13114340134320 its reverse (2343104341131), we get a palindrome (15457444475451).

The spelling of 13114340134320 in words is "thirteen trillion, one hundred fourteen billion, three hundred forty million, one hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1151 2302 3453 4604 5755 6906 9208 11510 13812 17265 18416 23020 27624 34530 46040 55248 69060 92080 138120 276240 47474443 94948886 142423329 189897772 237372215 284846658 379795544 474744430 569693316 712116645 759591088 949488860 1139386632 1424233290 1898977720 2278773264 2848466580 3797955440 5696933160 11393866320 54643083893 109286167786 163929251679 218572335572 273215419465 327858503358 437144671144 546430838930 655717006716 819646258395 874289342288 1092861677860 1311434013432 1639292516790 2185723355720 2622868026864 3278585033580 4371446711440 6557170067160 13114340134320