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1395139726864 = 241321935994463
BaseRepresentation
bin10100010011010100110…
…011101100111000010000
311221101002200112100010201
4110103110303230320100
5140324221232224424
62544530210104544
7202536602004352
oct24232463547020
94841080470121
101395139726864
11498748006134
121a647957b154
13a173a9bb200
144b74cd1b0d2
1526456608d44
hex144d4cece10

1395139726864 has 120 divisors (see below), whose sum is σ = 2947745260800. Its totient is φ = 639361622016.

The previous prime is 1395139726829. The next prime is 1395139726913. The reversal of 1395139726864 is 4686279315931.

It is a junction number, because it is equal to n+sod(n) for n = 1395139726796 and 1395139726805.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312599097 + ... + 312603559.

It is an arithmetic number, because the mean of its divisors is an integer number (24564543840).

Almost surely, 21395139726864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1395139726864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473872630400).

1395139726864 is an abundant number, since it is smaller than the sum of its proper divisors (1552605533936).

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

1395139726864 is a wasteful number, since it uses less digits than its factorization.

1395139726864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5289 (or 5270 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 64.

The spelling of 1395139726864 in words is "one trillion, three hundred ninety-five billion, one hundred thirty-nine million, seven hundred twenty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 193 208 338 386 599 676 772 1198 1352 1544 2396 2509 2704 3088 4463 4792 5018 7787 8926 9584 10036 15574 17852 20072 31148 32617 35704 40144 58019 62296 65234 71408 101231 115607 116038 124592 130468 202462 231214 232076 260936 404924 462428 464152 521872 754247 809848 861359 924856 928304 1502891 1508494 1619696 1722718 1849712 2673337 3005782 3016988 3445436 5346674 6011564 6033976 6890872 10693348 11197667 12023128 12067952 13781744 19537583 21386696 22395334 24046256 34753381 39075166 42773392 44790668 69506762 78150332 89581336 139013524 145569671 156300664 179162672 278027048 291139342 312601328 451793953 515954041 556054096 582278684 903587906 1031908082 1164557368 1807175812 2063816164 2329114736 3614351624 4127632328 6707402533 7228703248 8255264656 13414805066 26829610132 53659220264 87196232929 107318440528 174392465858 348784931716 697569863432 1395139726864