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13114224013312 = 212101182317389
BaseRepresentation
bin1011111011010110010010…
…1010011111000000000000
31201102201002211010121121001
42332311210222133000000
53204330412321411222
643520331421341344
72522320460605432
oct276654452370000
951381084117531
1013114224013312
1141a67906285a4
12157975b107854
1374188731b086
14334a361d2652
1517b1e7503e27
hexbed64a9f000

13114224013312 has 104 divisors (see below), whose sum is σ = 26500954331520. Its totient is φ = 6488255692800.

The previous prime is 13114224013307. The next prime is 13114224013313. The reversal of 13114224013312 is 21331042241131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13114224013313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 754159114 + ... + 754176502.

Almost surely, 213114224013312 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 13114224013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13250477165760).

13114224013312 is an abundant number, since it is smaller than the sum of its proper divisors (13386730318208).

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

13114224013312 is a wasteful number, since it uses less digits than its factorization.

13114224013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19337 (or 19315 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 13114224013312 its reverse (21331042241131), we get a palindrome (34445266254443).

The spelling of 13114224013312 in words is "thirteen trillion, one hundred fourteen billion, two hundred twenty-four million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 512 808 1024 1616 1823 2048 3232 3646 4096 6464 7292 12928 14584 17389 25856 29168 34778 51712 58336 69556 103424 116672 139112 184123 206848 233344 278224 368246 413696 466688 556448 736492 933376 1112896 1472984 1756289 1866752 2225792 2945968 3512578 3733504 4451584 5891936 7025156 7467008 8903168 11783872 14050312 17806336 23567744 28100624 31700147 35612672 47135488 56201248 63400294 71225344 94270976 112402496 126800588 188541952 224804992 253601176 377083904 449609984 507202352 754167808 899219968 1014404704 1798439936 2028809408 3201714847 3596879872 4057618816 6403429694 7193759744 8115237632 12806859388 16230475264 25613718776 32460950528 51227437552 64921901056 102454875104 129843802112 204909750208 409819500416 819639000832 1639278001664 3278556003328 6557112006656 13114224013312