Search a number
-
+
13470415322740 = 225311011991080973
BaseRepresentation
bin1100010000000101001101…
…0100011111111001110100
31202200202111101220220211121
43010001103110133321310
53231144402310311430
644352120125313324
72560130310022465
oct304012324377164
952622441826747
1013470415322740
1143238533052a2
1216167a6a05844
137693407b8bac
14347d86032d6c
151855e2d7ea7a
hexc405351fe74

13470415322740 has 96 divisors (see below), whose sum is σ = 29637712742400. Its totient is φ = 5136778944000.

The previous prime is 13470415322737. The next prime is 13470415322743. The reversal of 13470415322740 is 4722351407431.

It is an interprime number because it is at equal distance from previous prime (13470415322737) and next prime (13470415322743).

It is a super-2 number, since 2×134704153227402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13470415322743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11920894 + ... + 13001866.

It is an arithmetic number, because the mean of its divisors is an integer number (308726174400).

Almost surely, 213470415322740 is an apocalyptic number.

13470415322740 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 13470415322740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14818856371200).

13470415322740 is an abundant number, since it is smaller than the sum of its proper divisors (16167297419660).

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

13470415322740 is a wasteful number, since it uses less digits than its factorization.

13470415322740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081313 (or 1081311 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 43.

The spelling of 13470415322740 in words is "thirteen trillion, four hundred seventy billion, four hundred fifteen million, three hundred twenty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 31 62 101 124 155 199 202 310 398 404 505 620 796 995 1010 1990 2020 3131 3980 6169 6262 12338 12524 15655 20099 24676 30845 31310 40198 61690 62620 80396 100495 123380 200990 401980 623069 1080973 1246138 2161946 2492276 3115345 4323892 5404865 6230690 10809730 12461380 21619460 33510163 67020326 109178273 134040652 167550815 215113627 218356546 335101630 430227254 436713092 545891365 670203260 860454508 1075568135 1091782730 2151136270 2183565460 3384526463 4302272540 6668522437 6769052926 13337044874 13538105852 16922632315 21726476327 26674089748 33342612185 33845264630 43452952654 66685224370 67690529260 86905905308 108632381635 133370448740 217264763270 434529526540 673520766137 1347041532274 2694083064548 3367603830685 6735207661370 13470415322740