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242513521104 = 24343138185081
BaseRepresentation
bin1110000111011011101…
…1101010100111010000
3212011222011222022202010
43201312323222213100
512433131430133404
6303224214222520
723343465626451
oct3416673524720
9764864868663
10242513521104
1193938618908
123b001354a40
1319b3b05631a
14ba4841d128
156495958189
hex3876eea9d0

242513521104 has 80 divisors (see below), whose sum is σ = 641534615744. Its totient is φ = 78899788800.

The previous prime is 242513521069. The next prime is 242513521139. The reversal of 242513521104 is 401125315242.

It is an interprime number because it is at equal distance from previous prime (242513521069) and next prime (242513521139).

It is a congruent number.

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, 2807844 + ... + 2892924.

Almost surely, 2242513521104 is an apocalyptic number.

242513521104 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 242513521104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320767307872).

242513521104 is an abundant number, since it is smaller than the sum of its proper divisors (399021094640).

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

242513521104 is a wasteful number, since it uses less digits than its factorization.

242513521104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86516 (or 86510 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 242513521104 its reverse (401125315242), we get a palindrome (643638836346).

The spelling of 242513521104 in words is "two hundred forty-two billion, five hundred thirteen million, five hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 1381 2064 2762 4143 5524 8286 11048 16572 22096 33144 59383 66288 85081 118766 170162 178149 237532 255243 340324 356298 475064 510486 680648 712596 950128 1020972 1361296 1425192 2041944 2850384 3658483 4083888 7316966 10975449 14633932 21950898 29267864 43901796 58535728 87803592 117496861 175607184 234993722 352490583 469987444 704981166 939974888 1409962332 1879949776 2819924664 5052365023 5639849328 10104730046 15157095069 20209460092 30314190138 40418920184 60628380276 80837840368 121256760552 242513521104