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1366131081432 = 2331330777318451
BaseRepresentation
bin10011111000010011110…
…000100000000011011000
311211121020000122110120110
4103320103300200003120
5134340314024101212
62523331510124320
7200462000411145
oct23702360400330
94747200573513
101366131081432
114874114204a7
121a09226506a0
139ba96b27160
144a19a40d3cc
1525809a54a3c
hex13e13c200d8

1366131081432 has 128 divisors (see below), whose sum is σ = 3694999714560. Its totient is φ = 418414118400.

The previous prime is 1366131081349. The next prime is 1366131081479. The reversal of 1366131081432 is 2341801316631.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 74031807 + ... + 74050257.

It is an arithmetic number, because the mean of its divisors is an integer number (28867185270).

Almost surely, 21366131081432 is an apocalyptic number.

1366131081432 is a gapful number since it is divisible by the number (12) 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 1366131081432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847499857280).

1366131081432 is an abundant number, since it is smaller than the sum of its proper divisors (2328868633128).

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

1366131081432 is a wasteful number, since it uses less digits than its factorization.

1366131081432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19553 (or 19549 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 1366131081432 in words is "one trillion, three hundred sixty-six billion, one hundred thirty-one million, eighty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 307 312 614 773 921 1228 1546 1842 2319 2456 3092 3684 3991 4638 6184 7368 7982 9276 10049 11973 15964 18451 18552 20098 23946 30147 31928 36902 40196 47892 55353 60294 73804 80392 95784 110706 120588 147608 221412 237311 239863 241176 442824 474622 479726 711933 719589 949244 959452 1423866 1439178 1898488 1918904 2847732 2878356 3085043 5664457 5695464 5756712 6170086 9255129 11328914 12340172 14262623 16993371 18510258 22657828 24680344 28525246 33986742 37020516 42787869 45315656 57050492 67973484 73637941 74041032 85575738 114100984 135946968 147275882 171151476 185414099 220913823 294551764 342302952 370828198 441827646 556242297 589103528 741656396 883655292 1112484594 1483312792 1767310584 2224969188 4378625261 4449938376 8757250522 13135875783 17514501044 26271751566 35029002088 52543503132 56922128393 105087006264 113844256786 170766385179 227688513572 341532770358 455377027144 683065540716 1366131081432