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13114443140220 = 22351137237267277
BaseRepresentation
bin1011111011010111000110…
…1110011000110001111100
31201102201200002110102012110
42332311301232120301330
53204331334420441340
643520405250134020
72522326061264412
oct276656156306174
951381602412173
1013114443140220
1141a6893294914
121579800581310
137418c0841276
14334a573532b2
1517b20b88a680
hexbed71b98c7c

13114443140220 has 96 divisors (see below), whose sum is σ = 37050657956928. Its totient is φ = 3465744371712.

The previous prime is 13114443140159. The next prime is 13114443140261. The reversal of 13114443140220 is 2204134441131.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48933222 + ... + 49200498.

It is an arithmetic number, because the mean of its divisors is an integer number (385944353718).

Almost surely, 213114443140220 is an apocalyptic number.

13114443140220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13114443140220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18525328978464).

13114443140220 is an abundant number, since it is smaller than the sum of its proper divisors (23936214816708).

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

13114443140220 is a wasteful number, since it uses less digits than its factorization.

13114443140220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274639 (or 274637 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 13114443140220 its reverse (2204134441131), we get a palindrome (15318577581351).

The spelling of 13114443140220 in words is "thirteen trillion, one hundred fourteen billion, four hundred forty-three million, one hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 1130 1356 1695 2260 3390 6780 7237 14474 21711 28948 36185 43422 72370 86844 108555 144740 217110 267277 434220 534554 801831 817781 1069108 1336385 1603662 1635562 2453343 2672770 3207324 3271124 4009155 4088905 4906686 5345540 8018310 8177810 9813372 12266715 16036620 16355620 24533430 30202301 49066860 60404602 90606903 120809204 151011505 181213806 302023010 362427612 453034515 604046020 906069030 1812138060 1934283649 3868567298 5802850947 7737134596 9671418245 11605701894 19342836490 23211403788 29014254735 38685672980 58028509470 116057018940 218574052337 437148104674 655722157011 874296209348 1092870261685 1311444314022 2185740523370 2622888628044 3278610785055 4371481046740 6557221570110 13114443140220