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242442131544 = 2332101154921523
BaseRepresentation
bin1110000111001010101…
…1010101100001011000
3212011210012122100200100
43201302223111201120
512433010141202134
6303213144135400
723341641054564
oct3416253254130
9764705570610
10242442131544
1193901298878
123aba1467560
1319b2931c192
14ba3cb586a4
15648e555999
hex3872ad5858

242442131544 has 96 divisors (see below), whose sum is σ = 663574158000. Its totient is φ = 79958534400.

The previous prime is 242442131513. The next prime is 242442131567. The reversal of 242442131544 is 445131244242.

242442131544 is a `hidden beast` number, since 2 + 42 + 4 + 42 + 1 + 31 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 242442131499 and 242442131508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11253567 + ... + 11275089.

Almost surely, 2242442131544 is an apocalyptic number.

242442131544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242442131544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331787079000).

242442131544 is an abundant number, since it is smaller than the sum of its proper divisors (421132026456).

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

242442131544 is a wasteful number, since it uses less digits than its factorization.

242442131544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23185 (or 23178 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

Adding to 242442131544 its reverse (445131244242), we get a palindrome (687573375786).

The spelling of 242442131544 in words is "two hundred forty-two billion, four hundred forty-two million, one hundred thirty-one thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1549 1818 2424 3098 3636 4647 6196 7272 9294 12392 13941 18588 21523 27882 37176 43046 55764 64569 86092 111528 129138 156449 172184 193707 258276 312898 387414 469347 516552 625796 774828 938694 1251592 1408041 1549656 1877388 2173823 2816082 3754776 4347646 5632164 6521469 8695292 11264328 13042938 17390584 19564407 26085876 33339127 39128814 52171752 66678254 78257628 100017381 133356508 156515256 200034762 266713016 300052143 400069524 600104286 800139048 1200208572 2400417144 3367251827 6734503654 10101755481 13469007308 20203510962 26938014616 30305266443 40407021924 60610532886 80814043848 121221065772 242442131544