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13155210033440 = 2551737130715521
BaseRepresentation
bin1011111101101110111110…
…0111101111100100100000
31201120121220012120011102112
42333123233213233210200
53211013332232032230
643551230422134452
72525301240203456
oct277335747574440
951517805504375
1013155210033440
114212103121102
121585699281428
137456b97545a7
14336a0370c9d6
1517c2e5859d95
hexbf6ef9ef920

13155210033440 has 96 divisors (see below), whose sum is σ = 33796759644144. Its totient is φ = 4818696929280.

The previous prime is 13155210033439. The next prime is 13155210033487. The reversal of 13155210033440 is 4433001255131.

It can be written as a sum of positive squares in 8 ways, for example, as 12644311021456 + 510899011984 = 3555884^2 + 714772^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 13155210033397 and 13155210033406.

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, 65257121 + ... + 65458400.

Almost surely, 213155210033440 is an apocalyptic number.

13155210033440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13155210033440 is an abundant number, since it is smaller than the sum of its proper divisors (20641549610704).

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

13155210033440 is a wasteful number, since it uses less digits than its factorization.

13155210033440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130715590 (or 130715582 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 13155210033440 its reverse (4433001255131), we get a palindrome (17588211288571).

The spelling of 13155210033440 in words is "thirteen trillion, one hundred fifty-five billion, two hundred ten million, thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 37 40 68 74 80 85 136 148 160 170 185 272 296 340 370 544 592 629 680 740 1184 1258 1360 1480 2516 2720 2960 3145 5032 5920 6290 10064 12580 20128 25160 50320 100640 130715521 261431042 522862084 653577605 1045724168 1307155210 2091448336 2222163857 2614310420 4182896672 4444327714 4836474277 5228620840 8888655428 9672948554 10457241680 11110819285 17777310856 19345897108 20914483360 22221638570 24182371385 35554621712 38691794216 44443277140 48364742770 71109243424 77383588432 82220062709 88886554280 96729485540 154767176864 164440125418 177773108560 193458971080 328880250836 355546217120 386917942160 411100313545 657760501672 773835884320 822200627090 1315521003344 1644401254180 2631042006688 3288802508360 6577605016720 13155210033440