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21330223515440 = 2457172240569697
BaseRepresentation
bin1001101100110010101000…
…11001010100011100110000
32210112011000221200121210122
410312121110121110130300
510243433244204443230
6113210545220345412
74331025552236540
oct466312431243460
983464027617718
1021330223515440
116884108107764
122485b34845268
13bb957bb71b08
1453a5617d5320
1526ecac336be5
hex136654654730

21330223515440 has 80 divisors (see below), whose sum is σ = 60011418791232. Its totient is φ = 6883030106112.

The previous prime is 21330223515439. The next prime is 21330223515443. The reversal of 21330223515440 is 4451532203312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 21330223515440.

It is not an unprimeable number, because it can be changed into a prime (21330223515443) 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, 1120275329 + ... + 1120294368.

Almost surely, 221330223515440 is an apocalyptic number.

21330223515440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21330223515440 is an abundant number, since it is smaller than the sum of its proper divisors (38681195275792).

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

21330223515440 is a wasteful number, since it uses less digits than its factorization.

21330223515440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240569734 (or 2240569728 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 21330223515440 its reverse (4451532203312), we get a palindrome (25781755718752).

The spelling of 21330223515440 in words is "twenty-one trillion, three hundred thirty billion, two hundred twenty-three million, five hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1904 2380 4760 9520 2240569697 4481139394 8962278788 11202848485 15683987879 17924557576 22405696970 31367975758 35849115152 38089684849 44811393940 62735951516 76179369698 78419939395 89622787880 125471903032 152358739396 156839878790 179245575760 190448424245 250943806064 266627793943 304717478792 313679757580 380896848490 533255587886 609434957584 627359515160 761793696980 1066511175772 1254719030320 1333138969715 1523587393960 2133022351544 2666277939430 3047174787920 4266044703088 5332555878860 10665111757720 21330223515440