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21144332112040 = 23523155314799079
BaseRepresentation
bin1001100111011000011000…
…11001111001000010101000
32202212101012212012220102001
410303230030121321002220
510232412043010041130
6112545323322420344
74311425155336324
oct463541431710250
982771185186361
1021144332112040
116812296277a55
122455ab60616b4
13ba4b957c5167
145315693b8984
1526a02c7e76ca
hex133b0c6790a8

21144332112040 has 64 divisors (see below), whose sum is σ = 49675183891200. Its totient is φ = 8084795507712.

The previous prime is 21144332111963. The next prime is 21144332112049. The reversal of 21144332112040 is 4021123344112.

It is a happy number.

It is a super-2 number, since 2×211443321120402 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21144332112049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5970780 + ... + 8828299.

It is an arithmetic number, because the mean of its divisors is an integer number (776174748300).

Almost surely, 221144332112040 is an apocalyptic number.

21144332112040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21144332112040 is an abundant number, since it is smaller than the sum of its proper divisors (28530851779160).

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

21144332112040 is a wasteful number, since it uses less digits than its factorization.

21144332112040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14800666 (or 14800662 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 21144332112040 its reverse (4021123344112), we get a palindrome (25165455456152).

The spelling of 21144332112040 in words is "twenty-one trillion, one hundred forty-four billion, three hundred thirty-two million, one hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1553 3106 6212 7765 12424 15530 31060 35719 62120 71438 142876 178595 285752 357190 714380 1428760 14799079 29598158 59196316 73995395 118392632 147990790 295981580 340378817 591963160 680757634 1361515268 1701894085 2723030536 3403788170 6807576340 13615152680 22982969687 45965939374 91931878748 114914848435 183863757496 229829696870 459659393740 528608302801 919318787480 1057216605602 2114433211204 2643041514005 4228866422408 5286083028010 10572166056020 21144332112040