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42242200402440 = 2335434980942363
BaseRepresentation
bin10011001101011010001110…
…10110010111101000001000
312112120022111120120002222010
421212231013112113220020
521014044011300334230
6225501444324255520
711616620051023053
oct1146550726275010
9175508446502863
1042242200402440
11125068a896a005
1248a29a35415a0
131a7556504311c
14a6076795ba9a
154d3c3ae019b0
hex266b47597a08

42242200402440 has 64 divisors (see below), whose sum is σ = 126755742024000. Its totient is φ = 11261996479232.

The previous prime is 42242200402411. The next prime is 42242200402453. The reversal of 42242200402440 is 4420400224224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42242200402398 and 42242200402407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39949302 + ... + 40993061.

It is an arithmetic number, because the mean of its divisors is an integer number (1980558469125).

Almost surely, 242242200402440 is an apocalyptic number.

42242200402440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42242200402440 is an abundant number, since it is smaller than the sum of its proper divisors (84513541621560).

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

42242200402440 is a wasteful number, since it uses less digits than its factorization.

42242200402440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80946726 (or 80946722 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 42242200402440 its reverse (4420400224224), we get a palindrome (46662600626664).

The spelling of 42242200402440 in words is "forty-two trillion, two hundred forty-two billion, two hundred million, four hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 4349 8698 13047 17396 21745 26094 34792 43490 52188 65235 86980 104376 130470 173960 260940 521880 80942363 161884726 242827089 323769452 404711815 485654178 647538904 809423630 971308356 1214135445 1618847260 1942616712 2428270890 3237694520 4856541780 9713083560 352018336687 704036673374 1056055010061 1408073346748 1760091683435 2112110020122 2816146693496 3520183366870 4224220040244 5280275050305 7040366733740 8448440080488 10560550100610 14080733467480 21121100201220 42242200402440