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242140440432 = 24311835525293
BaseRepresentation
bin1110000110000010110…
…0011110011101110000
3212011000011221212021110
43201200230132131300
512431400423043212
6303123205553320
723331315532632
oct3414054363560
9764004855243
10242140440432
1193766a69880
123ab18415840
1319aab97b727
14ba10a64a52
156472d10a3c
hex3860b1e770

242140440432 has 80 divisors (see below), whose sum is σ = 690617547648. Its totient is φ = 72491831040.

The previous prime is 242140440431. The next prime is 242140440461. The reversal of 242140440432 is 234044041242.

It is a self number, because there is not a number n which added to its sum of digits gives 242140440432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242140440431) 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, 2718823 + ... + 2806470.

Almost surely, 2242140440432 is an apocalyptic number.

242140440432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

242140440432 is an abundant number, since it is smaller than the sum of its proper divisors (448477107216).

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

242140440432 is a wasteful number, since it uses less digits than its factorization.

242140440432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5525398 (or 5525392 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 242140440432 its reverse (234044041242), we get a palindrome (476184481674).

The spelling of 242140440432 in words is "two hundred forty-two billion, one hundred forty million, four hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 83 88 132 166 176 249 264 332 498 528 664 913 996 1328 1826 1992 2739 3652 3984 5478 7304 10956 14608 21912 43824 5525293 11050586 16575879 22101172 33151758 44202344 60778223 66303516 88404688 121556446 132607032 182334669 243112892 265214064 364669338 458599319 486225784 729338676 917198638 972451568 1375797957 1458677352 1834397276 2751595914 2917354704 3668794552 5044592509 5503191828 7337589104 10089185018 11006383656 15133777527 20178370036 22012767312 30267555054 40356740072 60535110108 80713480144 121070220216 242140440432