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13992528441200 = 2452312707341681
BaseRepresentation
bin1100101110011110001110…
…1011111110111101110000
31211112200011100212102220112
43023213203223332331300
53313223144240104300
645432025005400452
72642632620221231
oct313474353767560
954480140772815
1013992528441200
11450521a57aa01
12169ba19569128
137a664a04353a
14365356041088
15193e9eed7e35
hexcb9e3afef70

13992528441200 has 120 divisors (see below), whose sum is σ = 34703584887936. Its totient is φ = 5416132608000.

The previous prime is 13992528441197. The next prime is 13992528441223. The reversal of 13992528441200 is 214482529931.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

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, 335684360 + ... + 335726040.

Almost surely, 213992528441200 is an apocalyptic number.

13992528441200 is a gapful number since it is divisible by the number (10) 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 13992528441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17351792443968).

13992528441200 is an abundant number, since it is smaller than the sum of its proper divisors (20711056446736).

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

13992528441200 is a wasteful number, since it uses less digits than its factorization.

13992528441200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68803 (or 68792 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 50.

The spelling of 13992528441200 in words is "thirteen trillion, nine hundred ninety-two billion, five hundred twenty-eight million, four hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 2480 3100 6200 12400 27073 41681 54146 83362 108292 135365 166724 208405 216584 270730 333448 416810 433168 541460 666896 676825 833620 839263 1042025 1082920 1292111 1353650 1667240 1678526 2084050 2165840 2584222 2707300 3334480 3357052 4168100 4196315 5168444 5414600 6460555 6714104 8336200 8392630 10336888 10829200 12921110 13428208 16672400 16785260 20673776 20981575 25842220 32302775 33570520 41963150 51684440 64605550 67141040 83926300 103368880 129211100 167852600 258422200 335705200 516844400 1128429713 2256859426 4513718852 5642148565 9027437704 11284297130 18054875408 22568594260 28210742825 34981321103 45137188520 56421485650 69962642206 90274377040 112842971300 139925284412 174906605515 225685942600 279850568824 349813211030 451371885200 559701137648 699626422060 874533027575 1399252844120 1749066055150 2798505688240 3498132110300 6996264220600 13992528441200