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242132441540 = 225117971380931
BaseRepresentation
bin1110000110000000110…
…1111101100111000100
3212010222121220110212012
43201200031331213010
512431341401112130
6303122322313352
723331160536353
oct3414015754704
9763877813765
10242132441540
11937624a6120
123ab157b8858
1319aaa10a962
14ba0d98199a
156472280995
hex386037d9c4

242132441540 has 48 divisors (see below), whose sum is σ = 555399802944. Its totient is φ = 87937622400.

The previous prime is 242132441531. The next prime is 242132441599. The reversal of 242132441540 is 45144231242.

It is a super-2 number, since 2×2421324415402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242132441497 and 242132441506.

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, 515126 + ... + 865805.

It is an arithmetic number, because the mean of its divisors is an integer number (11570829228).

Almost surely, 2242132441540 is an apocalyptic number.

242132441540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242132441540 is an abundant number, since it is smaller than the sum of its proper divisors (313267361404).

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

242132441540 is a wasteful number, since it uses less digits than its factorization.

242132441540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381748 (or 1381746 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 242132441540 its reverse (45144231242), we get a palindrome (287276672782).

The spelling of 242132441540 in words is "two hundred forty-two billion, one hundred thirty-two million, four hundred forty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 797 1594 3188 3985 7970 8767 15940 17534 35068 43835 87670 175340 1380931 2761862 5523724 6904655 13809310 15190241 27618620 30380482 60760964 75951205 151902410 303804820 1100602007 2201204014 4402408028 5503010035 11006020070 12106622077 22012040140 24213244154 48426488308 60533110385 121066220770 242132441540