Search a number
-
+
1295714192496 = 243318531020839
BaseRepresentation
bin10010110110101110100…
…101011000110001110000
311120212110112211212120220
4102312232211120301300
5132212110313124441
62431124243533040
7162420001625643
oct22665645306160
94525415755526
101295714192496
1145a566978619
1218b15008a180
1395254206b79
14469da2b7a5a
1523a87a46466
hex12dae958c70

1295714192496 has 80 divisors (see below), whose sum is σ = 3459291924480. Its totient is φ = 417481908480.

The previous prime is 1295714192483. The next prime is 1295714192501. The reversal of 1295714192496 is 6942914175921.

It is a super-2 number, since 2×12957141924962 (a number of 25 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 15 ways as a sum of consecutive naturals, for example, 758845 + ... + 1779683.

It is an arithmetic number, because the mean of its divisors is an integer number (43241149056).

Almost surely, 21295714192496 is an apocalyptic number.

1295714192496 is a gapful number since it is divisible by the number (16) 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 1295714192496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729645962240).

1295714192496 is an abundant number, since it is smaller than the sum of its proper divisors (2163577731984).

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

1295714192496 is a wasteful number, since it uses less digits than its factorization.

1295714192496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021734 (or 1021728 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 60.

The spelling of 1295714192496 in words is "one trillion, two hundred ninety-five billion, seven hundred fourteen million, one hundred ninety-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 853 1488 1706 2559 3412 5118 6824 10236 13648 20472 26443 40944 52886 79329 105772 158658 211544 317316 423088 634632 1020839 1269264 2041678 3062517 4083356 6125034 8166712 12250068 16333424 24500136 31646009 49000272 63292018 94938027 126584036 189876054 253168072 379752108 506336144 759504216 870775667 1519008432 1741551334 2612327001 3483102668 5224654002 6966205336 10449308004 13932410672 20898616008 26994045677 41797232016 53988091354 80982137031 107976182708 161964274062 215952365416 323928548124 431904730832 647857096248 1295714192496