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21402240042132 = 22331719613525973
BaseRepresentation
bin1001101110111000110001…
…11010100100010010010100
32210210000220220111020021000
410313130120322210102110
510301123241422322012
6113304015304423300
74336155313513005
oct467343072442224
983700826436230
1021402240042132
116901703604114
122497a92a77b30
13bc32b7ccc011
1453dc341691ac
15271ac49c1ddc
hex137718ea4494

21402240042132 has 96 divisors (see below), whose sum is σ = 61843418179200. Its totient is φ = 6361037277696.

The previous prime is 21402240042121. The next prime is 21402240042137. The reversal of 21402240042132 is 23124004220412.

It is a happy number.

21402240042132 is a `hidden beast` number, since 2 + 1 + 40 + 2 + 2 + 400 + 4 + 213 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21402240042096 and 21402240042105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21402240042137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306728103 + ... + 306797870.

It is an arithmetic number, because the mean of its divisors is an integer number (644202272700).

Almost surely, 221402240042132 is an apocalyptic number.

It is an amenable number.

21402240042132 is an abundant number, since it is smaller than the sum of its proper divisors (40441178137068).

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

21402240042132 is a wasteful number, since it uses less digits than its factorization.

21402240042132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613526022 (or 613526014 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 21402240042132 its reverse (23124004220412), we get a palindrome (44526244262544).

The spelling of 21402240042132 in words is "twenty-one trillion, four hundred two billion, two hundred forty million, forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 68 76 102 108 114 153 171 204 228 306 323 342 459 513 612 646 684 918 969 1026 1292 1836 1938 2052 2907 3876 5814 8721 11628 17442 34884 613525973 1227051946 1840577919 2454103892 3681155838 5521733757 7362311676 10429941541 11043467514 11656993487 16565201271 20859883082 22086935028 23313986974 31289824623 33130402542 34970980461 41719766164 46627973948 62579649246 66260805084 69941960922 93869473869 104912941383 125159298492 139883921844 187738947738 198168889279 209825882766 281608421607 314738824149 375477895476 396337778558 419651765532 563216843214 594506667837 629477648298 792675557116 1126433686428 1189013335674 1258955296596 1783520003511 2378026671348 3567040007022 5350560010533 7134080014044 10701120021066 21402240042132