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13400052333330 = 23513211541300997
BaseRepresentation
bin1100001011111111000101…
…0110111111101100010010
31202110000212200112201002210
43002333301112333230102
53224021301344131310
644255522110252550
72552056534335615
oct302776126775422
952400780481083
1013400052333330
1142a6a26226983
12160502a4b7156
137628090bac10
143447cd12c17c
1518387596b820
hexc2ff15bfb12

13400052333330 has 128 divisors (see below), whose sum is σ = 34862561185536. Its totient is φ = 3276762854400.

The previous prime is 13400052333329. The next prime is 13400052333407. The reversal of 13400052333330 is 3333325000431.

It is a happy number.

It is a super-2 number, since 2×134000523333302 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44368392 + ... + 44669388.

It is an arithmetic number, because the mean of its divisors is an integer number (272363759262).

Almost surely, 213400052333330 is an apocalyptic number.

13400052333330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13400052333330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17431280592768).

13400052333330 is an abundant number, since it is smaller than the sum of its proper divisors (21462508852206).

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

13400052333330 is a wasteful number, since it uses less digits than its factorization.

13400052333330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301772.

The product of its (nonzero) digits is 29160, while the sum is 30.

Adding to 13400052333330 its reverse (3333325000431), we get a palindrome (16733377333761).

The spelling of 13400052333330 in words is "thirteen trillion, four hundred billion, fifty-two million, three hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 211 390 422 541 633 1055 1082 1266 1623 2110 2705 2743 3165 3246 5410 5486 6330 7033 8115 8229 13715 14066 16230 16458 21099 27430 35165 41145 42198 70330 82290 105495 114151 210990 228302 300997 342453 570755 601994 684906 902991 1141510 1483963 1504985 1712265 1805982 2967926 3009970 3424530 3912961 4451889 4514955 7419815 7825922 8903778 9029910 11738883 14839630 19564805 22259445 23477766 39129610 44518890 58694415 63510367 117388830 127020734 162839377 190531101 317551835 325678754 381062202 488518131 635103670 814196885 825634771 952655505 977036262 1628393770 1651269542 1905311010 2116911901 2442590655 2476904313 4128173855 4233823802 4885181310 4953808626 6350735703 8256347710 10584559505 12384521565 12701471406 21169119010 24769043130 31753678515 34359108547 63507357030 68718217094 103077325641 171795542735 206154651282 343591085470 446668411111 515386628205 893336822222 1030773256410 1340005233333 2233342055555 2680010466666 4466684111110 6700026166665 13400052333330