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14201613540 = 22325792833529
BaseRepresentation
bin11010011100111101…
…10110110011100100
31100122201211201100200
431032132312303210
5213041103113130
610305113510500
71011633503052
oct151636666344
940581751320
1014201613540
1160284934a4
122904112430
13145430c72a
1498a1991d2
15581baa760
hex34e7b6ce4

14201613540 has 144 divisors (see below), whose sum is σ = 43790073600. Its totient is φ = 3724890624.

The previous prime is 14201613487. The next prime is 14201613623. The reversal of 14201613540 is 4531610241.

It is a happy number.

14201613540 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 1 + 613 + 5 + 40 = 666.

It is a super-2 number, since 2×142016135402 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4022496 + ... + 4026024.

Almost surely, 214201613540 is an apocalyptic number.

14201613540 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 14201613540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21895036800).

14201613540 is an abundant number, since it is smaller than the sum of its proper divisors (29588460060).

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

14201613540 is a wasteful number, since it uses less digits than its factorization.

14201613540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3906 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 14201613540 in words is "fourteen billion, two hundred one million, six hundred thirteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 283 316 395 474 566 711 790 849 948 1132 1185 1415 1422 1580 1698 2370 2547 2830 2844 3396 3529 3555 4245 4740 5094 5660 7058 7110 8490 10188 10587 12735 14116 14220 16980 17645 21174 22357 25470 31761 35290 42348 44714 50940 52935 63522 67071 70580 89428 105870 111785 127044 134142 158805 201213 211740 223570 268284 278791 317610 335355 402426 447140 557582 635220 670710 804852 836373 998707 1006065 1115164 1341420 1393955 1672746 1997414 2012130 2509119 2787910 2996121 3345492 3994828 4024260 4181865 4993535 5018238 5575820 5992242 8363730 8988363 9987070 10036476 11984484 12545595 14980605 16727460 17976726 19974140 25091190 29961210 35953452 44941815 50182380 59922420 78897853 89883630 157795706 179767260 236693559 315591412 394489265 473387118 710080677 788978530 946774236 1183467795 1420161354 1577957060 2366935590 2840322708 3550403385 4733871180 7100806770 14201613540