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13141243134520 = 2356173255128921
BaseRepresentation
bin1011111100111010111100…
…1000010000001000111000
31201112021211211101011222221
42333032233020100020320
53210301231220301040
643541000451053424
72524265153420524
oct277165710201070
951467754334887
1013141243134520
114207196181236
121582a3b8a1274
137442a1c65067
1433607a7b0d84
1517bc795b474a
hexbf3af210238

13141243134520 has 128 divisors (see below), whose sum is σ = 30477189156480. Its totient is φ = 5097323520000.

The previous prime is 13141243134511. The next prime is 13141243134589. The reversal of 13141243134520 is 2543134214131.

It is a super-2 number, since 2×131412431345202 (a number of 27 digits) contains 22 as substring.

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, 454369660 + ... + 454398580.

It is an arithmetic number, because the mean of its divisors is an integer number (238103040285).

Almost surely, 213141243134520 is an apocalyptic number.

13141243134520 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 13141243134520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15238594578240).

13141243134520 is an abundant number, since it is smaller than the sum of its proper divisors (17335946021960).

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

13141243134520 is a wasteful number, since it uses less digits than its factorization.

13141243134520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31617 (or 31613 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 13141243134520 its reverse (2543134214131), we get a palindrome (15684377348651).

The spelling of 13141243134520 in words is "thirteen trillion, one hundred forty-one billion, two hundred forty-three million, one hundred thirty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 73 122 146 244 292 305 365 488 584 610 730 1220 1460 2440 2551 2920 4453 5102 8906 10204 12755 17812 20408 22265 25510 28921 35624 44530 51020 57842 89060 102040 115684 144605 155611 178120 186223 231368 289210 311222 372446 578420 622444 744892 778055 931115 1156840 1244888 1489784 1556110 1764181 1862230 2111233 3112220 3528362 3724460 4222466 6224440 7056724 7448920 8444932 8820905 10556165 11359603 14113448 16889864 17641810 21112330 22719206 35283620 42224660 45438412 56798015 70567240 73777471 84449320 90876824 113596030 128785213 147554942 227192060 257570426 295109884 368887355 454384120 515140852 590219768 643926065 737774710 1030281704 1287852130 1475549420 2575704260 2951098840 4500425731 5151408520 5385755383 9000851462 10771510766 18001702924 21543021532 22502128655 26928776915 36003405848 43086043064 45004257310 53857553830 90008514620 107715107660 180017029240 215430215320 328531078363 657062156726 1314124313452 1642655391815 2628248626904 3285310783630 6570621567260 13141243134520