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242402231141 = 7217311312547
BaseRepresentation
bin1110000111000001001…
…1001000001101100101
3212011200102120012121122
43201300103020031211
512432414432344031
6303205201023325
723340644653100
oct3416023101545
9764612505548
10242402231141
1193890816034
123ab90024b45
1319b20c8ba85
14ba3772d737
15648acc347b
hex38704c8365

242402231141 has 72 divisors (see below), whose sum is σ = 311134549248. Its totient is φ = 187455340800.

The previous prime is 242402231131. The next prime is 242402231153. The reversal of 242402231141 is 141132204242.

It is not a de Polignac number, because 242402231141 - 210 = 242402230117 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 242402231141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242402231111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 443148230 + ... + 443148776.

It is an arithmetic number, because the mean of its divisors is an integer number (4321313184).

Almost surely, 2242402231141 is an apocalyptic number.

It is an amenable number.

242402231141 is a deficient number, since it is larger than the sum of its proper divisors (68732318107).

242402231141 is a wasteful number, since it uses less digits than its factorization.

242402231141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 242402231141 its reverse (141132204242), we get a palindrome (383534435383).

The spelling of 242402231141 in words is "two hundred forty-two billion, four hundred two million, two hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 7 17 31 49 119 131 217 527 547 833 917 1519 2227 3689 3829 4061 6419 9299 15589 16957 17161 25823 26803 28427 65093 69037 71657 109123 118699 120127 198989 288269 291737 455651 483259 501599 531991 830893 840889 1218169 2017883 2042159 2221367 3382813 3511193 3723937 8527183 9043847 9387067 14125181 14295113 15549569 26067559 37763239 59690281 63306929 65709469 108846983 159580139 264342673 290999077 443148503 459966283 1117060973 1850398711 2036993539 4946984309 7819426811 14258954773 34628890163 242402231141