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14201521020 = 2234561143711
BaseRepresentation
bin11010011100111101…
…00000001101111100
31100122201200000110000
431032132200031330
5213041042133040
610305111514300
71011632636241
oct151636401574
940581600400
1014201521020
11602842aa35
122904088990
1314542a959b
1498a1735c8
15581b8d130
hex34e7a037c

14201521020 has 120 divisors (see below), whose sum is σ = 45281351808. Its totient is φ = 3724963200.

The previous prime is 14201521003. The next prime is 14201521021. The reversal of 14201521020 is 2012510241.

14201521020 is a `hidden beast` number, since 1 + 420 + 15 + 210 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14201520984 and 14201521002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14201521021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26965 + ... + 170675.

Almost surely, 214201521020 is an apocalyptic number.

14201521020 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 14201521020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22640675904).

14201521020 is an abundant number, since it is smaller than the sum of its proper divisors (31079830788).

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

14201521020 is a wasteful number, since it uses less digits than its factorization.

14201521020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143793 (or 143782 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The spelling of 14201521020 in words is "fourteen billion, two hundred one million, five hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 81 90 108 122 135 162 180 183 244 270 305 324 366 405 540 549 610 732 810 915 1098 1220 1620 1647 1830 2196 2745 3294 3660 4941 5490 6588 8235 9882 10980 16470 19764 24705 32940 49410 98820 143711 287422 431133 574844 718555 862266 1293399 1437110 1724532 2155665 2586798 2874220 3880197 4311330 5173596 6466995 7760394 8622660 8766371 11640591 12933990 15520788 17532742 19400985 23281182 25867980 26299113 35065484 38801970 43831855 46562364 52598226 58202955 77603940 78897339 87663710 105196452 116405910 131495565 157794678 175327420 232811820 236692017 262991130 315589356 394486695 473384034 525982260 710076051 788973390 946768068 1183460085 1420152102 1577946780 2366920170 2840304204 3550380255 4733840340 7100760510 14201521020