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20535142140 = 22335311226711
BaseRepresentation
bin10011000111111111…
…010110011011111100
31222000010111022021000
4103013333112123330
5314023444022030
613233403210300
71324610554032
oct230777263374
958003438230
1020535142140
118788609257
123b91216990
131c235153a6
14dcb3c8552
15802c26860
hex4c7fd66fc

20535142140 has 96 divisors (see below), whose sum is σ = 65948037120. Its totient is φ = 5299387200.

The previous prime is 20535142123. The next prime is 20535142151. The reversal of 20535142140 is 4124153502.

20535142140 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 514 + 2 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 596616 + ... + 630095.

It is an arithmetic number, because the mean of its divisors is an integer number (686958720).

Almost surely, 220535142140 is an apocalyptic number.

20535142140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20535142140 is an abundant number, since it is smaller than the sum of its proper divisors (45412894980).

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

20535142140 is a wasteful number, since it uses less digits than its factorization.

20535142140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226760 (or 1226752 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 20535142140 its reverse (4124153502), we get a palindrome (24659295642).

The spelling of 20535142140 in words is "twenty billion, five hundred thirty-five million, one hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 2790 3348 4185 5580 8370 16740 1226711 2453422 3680133 4906844 6133555 7360266 11040399 12267110 14720532 18400665 22080798 24534220 33121197 36801330 38028041 44161596 55201995 66242394 73602660 76056082 110403990 114084123 132484788 152112164 165605985 190140205 220807980 228168246 331211970 342252369 380280410 456336492 570420615 662423940 684504738 760560820 1026757107 1140841230 1369009476 1711261845 2053514214 2281682460 3422523690 4107028428 5133785535 6845047380 10267571070 20535142140