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14153221151020 = 2257282117590819
BaseRepresentation
bin1100110111110100110110…
…1110000001100100101100
31212010000221022112220010201
43031331031232001210230
53323341244103313040
650033522224043244
72660352004553500
oct315751556014454
955100838486121
1014153221151020
114567390403216
121706ba5163524
137b8848969213
1436d03b952300
151982576a7a9a
hexcdf4db8192c

14153221151020 has 72 divisors (see below), whose sum is σ = 34616411771760. Its totient is φ = 4846622175360.

The previous prime is 14153221150993. The next prime is 14153221151051. The reversal of 14153221151020 is 2015112235141.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 14153221151020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7990830 + ... + 9599989.

It is an arithmetic number, because the mean of its divisors is an integer number (480783496830).

Almost surely, 214153221151020 is an apocalyptic number.

14153221151020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14153221151020 is an abundant number, since it is smaller than the sum of its proper divisors (20463190620740).

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

14153221151020 is a wasteful number, since it uses less digits than its factorization.

14153221151020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17591663 (or 17591654 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

Adding to 14153221151020 its reverse (2015112235141), we get a palindrome (16168333386161).

The spelling of 14153221151020 in words is "fourteen trillion, one hundred fifty-three billion, two hundred twenty-one million, one hundred fifty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 821 980 1642 3284 4105 5747 8210 11494 16420 22988 28735 40229 57470 80458 114940 160916 201145 402290 804580 17590819 35181638 70363276 87954095 123135733 175908190 246271466 351816380 492542932 615678665 861950131 1231357330 1723900262 2462714660 3447800524 4309750655 8619501310 14442062399 17239002620 28884124798 57768249596 72210311995 101094436793 144420623990 202188873586 288841247980 404377747172 505472183965 707661057551 1010944367930 1415322115102 2021888735860 2830644230204 3538305287755 7076610575510 14153221151020