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13140232105410 = 23251785310068449
BaseRepresentation
bin1011111100110111001011…
…0111011110110111000010
31201112012020100221120210100
42333031302313132313002
53210242143404333120
643540312253143230
72524231126003014
oct277156267366702
951465210846710
1013140232105410
114206817505093
1215827b918ab16
13744170665a97
14335dc23d21b4
1517bc1a955490
hexbf372ddedc2

13140232105410 has 96 divisors (see below), whose sum is σ = 36216697935600. Its totient is φ = 3294073995264.

The previous prime is 13140232105387. The next prime is 13140232105433. The reversal of 13140232105410 is 1450123204131.

13140232105410 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 232 + 10 + 5 + 410 = 666.

It is an interprime number because it is at equal distance from previous prime (13140232105387) and next prime (13140232105433).

It can be written as a sum of positive squares in 8 ways, for example, as 7273048465881 + 5867183639529 = 2696859^2 + 2422227^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3729135 + ... + 6339314.

Almost surely, 213140232105410 is an apocalyptic number.

13140232105410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13140232105410 is an abundant number, since it is smaller than the sum of its proper divisors (23076465830190).

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

13140232105410 is a wasteful number, since it uses less digits than its factorization.

13140232105410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10069332 (or 10069329 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 13140232105410 its reverse (1450123204131), we get a palindrome (14590355309541).

The spelling of 13140232105410 in words is "thirteen trillion, one hundred forty billion, two hundred thirty-two million, one hundred five thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 853 1530 1706 2559 4265 5118 7677 8530 12795 14501 15354 25590 29002 38385 43503 72505 76770 87006 130509 145010 217515 261018 435030 652545 1305090 10068449 20136898 30205347 50342245 60410694 90616041 100684490 151026735 171163633 181232082 302053470 342327266 453080205 513490899 855818165 906160410 1026981798 1540472697 1711636330 2567454495 3080945394 5134908990 7702363485 8588386997 15404726970 17176773994 25765160991 42941934985 51530321982 77295482973 85883869970 128825804955 146002578949 154590965946 257651609910 292005157898 386477414865 438007736847 730012894745 772954829730 876015473694 1314023210541 1460025789490 2190038684235 2628046421082 4380077368470 6570116052705 13140232105410