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21427732011240 = 2333524821799343
BaseRepresentation
bin1001101111101000010000…
…10110101101100011101000
32210212110201111010102211000
410313310020112231203220
510302032443343324430
6113323433022035000
74341050113622442
oct467641026554350
983773644112730
1021427732011240
1169114a5111885
1224a0a08118a60
13bc581b4380c9
145411719b7492
152725b7972e60
hex137d085ad8e8

21427732011240 has 128 divisors (see below), whose sum is σ = 71428740364800. Its totient is φ = 5713824510720.

The previous prime is 21427732011233. The next prime is 21427732011307. The reversal of 21427732011240 is 4211023772412.

21427732011240 is a `hidden beast` number, since 2 + 1 + 427 + 7 + 3 + 201 + 1 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21427732011195 and 21427732011204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26407009 + ... + 27206351.

It is an arithmetic number, because the mean of its divisors is an integer number (558037034100).

Almost surely, 221427732011240 is an apocalyptic number.

21427732011240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21427732011240 is an abundant number, since it is smaller than the sum of its proper divisors (50001008353560).

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

21427732011240 is a wasteful number, since it uses less digits than its factorization.

21427732011240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824184 (or 824174 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 21427732011240 its reverse (4211023772412), we get a palindrome (25638755783652).

The spelling of 21427732011240 in words is "twenty-one trillion, four hundred twenty-seven billion, seven hundred thirty-two million, eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 24821 49642 74463 99284 124105 148926 198568 223389 248210 297852 372315 446778 496420 595704 670167 744630 799343 893556 992840 1116945 1340334 1489260 1598686 1787112 2233890 2398029 2680668 2978520 3197372 3350835 3996715 4467780 4796058 5361336 6394744 6701670 7194087 7993430 8935560 9592116 11990145 13403340 14388174 15986860 19184232 21582261 23980290 26806680 28776348 31973720 35970435 43164522 47960580 57552696 71940870 86329044 95921160 107911305 143881740 172658088 215822610 287763480 431645220 863290440 19840492603 39680985206 59521477809 79361970412 99202463015 119042955618 158723940824 178564433427 198404926030 238085911236 297607389045 357128866854 396809852060 476171822472 535693300281 595214778090 714257733708 793619704120 892822167135 1071386600562 1190429556180 1428515467416 1785644334270 2142773201124 2380859112360 2678466501405 3571288668540 4285546402248 5356933002810 7142577337080 10713866005620 21427732011240