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21314242332140 = 225131239115129573
BaseRepresentation
bin1001101100010100110111…
…10101111100010111101100
32210110121210012021101122212
410312022123311330113230
510243203032014112030
6113155343332225552
74326621536356442
oct466123365742754
983417705241585
1021314242332140
11687835715415a
122482a1476b2b8
13bb7c02c76534
14539887160b92
1526e67430b595
hex13629bd7c5ec

21314242332140 has 96 divisors (see below), whose sum is σ = 45331178618880. Its totient is φ = 8417610656000.

The previous prime is 21314242332077. The next prime is 21314242332179. The reversal of 21314242332140 is 4123324241312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21314242332097 and 21314242332106.

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, 720718394 + ... + 720747966.

It is an arithmetic number, because the mean of its divisors is an integer number (472199777280).

Almost surely, 221314242332140 is an apocalyptic number.

21314242332140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21314242332140 is an abundant number, since it is smaller than the sum of its proper divisors (24016936286740).

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

21314242332140 is a wasteful number, since it uses less digits than its factorization.

21314242332140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31103 (or 31101 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 21314242332140 its reverse (4123324241312), we get a palindrome (25437566573452).

The spelling of 21314242332140 in words is "twenty-one trillion, three hundred fourteen billion, two hundred forty-two million, three hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 131 239 262 478 524 655 956 1151 1195 1310 2302 2390 2620 4604 4780 5755 11510 23020 29573 31309 59146 62618 118292 125236 147865 150781 156545 275089 295730 301562 313090 550178 591460 603124 626180 753905 1100356 1375445 1507810 2750890 3015620 3874063 5501780 7067947 7748126 14135894 15496252 19370315 28271788 34038523 35339735 36036659 38740630 68077046 70679470 72073318 77481260 136154092 141358940 144146636 170192615 180183295 340385230 360366590 680770460 720733180 925901057 1851802114 3703604228 4459046513 4629505285 8135206997 8918093026 9259010570 16270413994 17836186052 18518021140 22295232565 32540827988 40676034985 44590465130 81352069970 89180930260 162704139940 1065712116607 2131424233214 4262848466428 5328560583035 10657121166070 21314242332140