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13207344224481 = 34112367092
BaseRepresentation
bin1100000000110001001100…
…0011111001100011100001
31201202121110112020110210000
43000030103003321203201
53212342120110140411
644031211542530213
72532125205415521
oct300142303714341
951677415213700
1013207344224481
114232226555500
121593808a36969
1374a5a76c3944
1433934b669681
1517d84776c956
hexc03130f98e1

13207344224481 has 45 divisors (see below), whose sum is σ = 21686723883363. Its totient is φ = 8004232993680.

The previous prime is 13207344224467. The next prime is 13207344224527. The reversal of 13207344224481 is 18442244370231.

The square root of 13207344224481 is 3634191.

It is a perfect power (a square), and thus also a powerful number.

13207344224481 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 7 + 344 + 224 + 4 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5902756934481 + 7304587290000 = 2429559^2 + 2702700^2 .

It is not a de Polignac number, because 13207344224481 - 211 = 13207344222433 is a prime.

It is a super-2 number, since 2×132073442244812 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13207344224461) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 359766555 + ... + 359803263.

Almost surely, 213207344224481 is an apocalyptic number.

13207344224481 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13207344224481 is the 3634191-st square number.

13207344224481 is the 1817096-th centered octagonal number.

It is an amenable number.

13207344224481 is a deficient number, since it is larger than the sum of its proper divisors (8479379658882).

13207344224481 is an frugal number, since it uses more digits than its factorization.

13207344224481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73452 (or 36723 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 13207344224481 in words is "thirteen trillion, two hundred seven billion, three hundred forty-four million, two hundred twenty-four thousand, four hundred eighty-one".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 3267 9801 36709 110127 330381 403799 991143 1211397 2973429 3634191 4441789 10902573 13325367 32707719 39976101 119928303 359784909 1347550681 4042652043 12127956129 14823057491 36383868387 44469172473 109151605161 133407517419 163053632401 400222552257 489160897203 1200667656771 1467482691609 4402448074827 13207344224481