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13450523424140 = 22511257631377011
BaseRepresentation
bin1100001110111011000110…
…1010111011010110001100
31202121212011002210202211102
43003232301222323112030
53230333132444033030
644335030221042232
72555524336462145
oct303566152732614
952555132722742
1013450523424140
114316375900480
1216129750b6378
137674c06303aa
1434701a24aacc
15184d2b868c45
hexc3bb1abb58c

13450523424140 has 96 divisors (see below), whose sum is σ = 30982930610688. Its totient is φ = 4864333824000.

The previous prime is 13450523424133. The next prime is 13450523424161. The reversal of 13450523424140 is 4142432505431.

It is a junction number, because it is equal to n+sod(n) for n = 13450523424094 and 13450523424103.

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, 35488235 + ... + 35865245.

It is an arithmetic number, because the mean of its divisors is an integer number (322738860528).

Almost surely, 213450523424140 is an apocalyptic number.

13450523424140 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 13450523424140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15491465305344).

13450523424140 is an abundant number, since it is smaller than the sum of its proper divisors (17532407186548).

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

13450523424140 is a wasteful number, since it uses less digits than its factorization.

13450523424140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377919 (or 377917 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

Adding to 13450523424140 its reverse (4142432505431), we get a palindrome (17592955929571).

The spelling of 13450523424140 in words is "thirteen trillion, four hundred fifty billion, five hundred twenty-three million, four hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 257 514 631 1028 1262 1285 2524 2570 2827 3155 5140 5654 6310 6941 11308 12620 13882 14135 27764 28270 34705 56540 69410 138820 162167 324334 377011 648668 754022 810835 1508044 1621670 1783837 1885055 3243340 3567674 3770110 4147121 7135348 7540220 8294242 8919185 16588484 17838370 20735605 35676740 41471210 82942420 96891827 193783654 237893941 387567308 475787882 484459135 951575764 968918270 1065810097 1189469705 1937836540 2131620194 2378939410 2616833351 4263240388 4757878820 5233666702 5329050485 10467333404 10658100970 13084166755 21316201940 26168333510 52336667020 61138742837 122277485674 244554971348 305693714185 611387428370 672526171207 1222774856740 1345052342414 2690104684828 3362630856035 6725261712070 13450523424140