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242713112432 = 24719743125523
BaseRepresentation
bin1110001000001011010…
…1000010111101110000
3212012111002112121120112
43202002311002331300
512434034024044212
6303300104200452
723351441262410
oct3420265027560
9765432477515
10242713112432
1193a3025181a
123b058169128
1319b704c95bb
14ba66b36640
1564a8231422
hex3882d42f70

242713112432 has 80 divisors (see below), whose sum is σ = 541438774272. Its totient is φ = 103247719680.

The previous prime is 242713112429. The next prime is 242713112443. The reversal of 242713112432 is 234211317242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9496823 + ... + 9522345.

Almost surely, 2242713112432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242713112432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270719387136).

242713112432 is an abundant number, since it is smaller than the sum of its proper divisors (298725661840).

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

242713112432 is a wasteful number, since it uses less digits than its factorization.

242713112432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26166 (or 26160 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

Adding to 242713112432 its reverse (234211317242), we get a palindrome (476924429674).

The spelling of 242713112432 in words is "two hundred forty-two billion, seven hundred thirteen million, one hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 197 394 431 788 862 1379 1576 1724 2758 3017 3152 3448 5516 6034 6896 11032 12068 22064 24136 25523 48272 51046 84907 102092 169814 178661 204184 339628 357322 408368 594349 679256 714644 1188698 1358512 1429288 2377396 2858576 4754792 5028031 9509584 10056062 11000413 20112124 22000826 35196217 40224248 44001652 70392434 77002891 80448496 88003304 140784868 154005782 176006608 281569736 308011564 563139472 616023128 1232046256 2167081361 4334162722 8668325444 15169569527 17336650888 30339139054 34673301776 60678278108 121356556216 242713112432