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242662622240 = 25519136758393
BaseRepresentation
bin1110000111111111010…
…0011100010000100000
3212012100120112110001102
43201333310130100200
512433433112402430
6303251102053532
723350256153603
oct3417764342040
9765316473042
10242662622240
1193a047a6795
123b04327a2a8
1319b62bcc04c
14ba6015233a
1564a3aab345
hex387fd1c420

242662622240 has 96 divisors (see below), whose sum is σ = 603915419520. Its totient is φ = 91887519744.

The previous prime is 242662622179. The next prime is 242662622281. The reversal of 242662622240 is 42226266242.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 242662622194 and 242662622203.

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, 4126484 + ... + 4184876.

It is an arithmetic number, because the mean of its divisors is an integer number (6290785620).

Almost surely, 2242662622240 is an apocalyptic number.

242662622240 is a gapful number since it is divisible by the number (20) 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 242662622240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301957709760).

242662622240 is an abundant number, since it is smaller than the sum of its proper divisors (361252797280).

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

242662622240 is a wasteful number, since it uses less digits than its factorization.

242662622240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59794 (or 59786 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

Adding to 242662622240 its reverse (42226266242), we get a palindrome (284888888482).

The spelling of 242662622240 in words is "two hundred forty-two billion, six hundred sixty-two million, six hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1367 1520 2734 3040 5468 6835 10936 13670 21872 25973 27340 43744 51946 54680 58393 103892 109360 116786 129865 207784 218720 233572 259730 291965 415568 467144 519460 583930 831136 934288 1038920 1109467 1167860 1868576 2077840 2218934 2335720 4155680 4437868 4671440 5547335 8875736 9342880 11094670 17751472 22189340 35502944 44378680 79823231 88757360 159646462 177514720 319292924 399116155 638585848 798232310 1277171696 1516641389 1596464620 2554343392 3033282778 3192929240 6066565556 6385858480 7583206945 12133131112 12771716960 15166413890 24266262224 30332827780 48532524448 60665655560 121331311120 242662622240