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242455323111144 = 2331113208133947857
BaseRepresentation
bin110111001000001100000111…
…011010000110111011101000
31011210110111120100011112012020
4313020030013122012323220
5223234342000204024034
62215354234321144440
7102032550633434553
oct6710140732067350
91153414510145166
10242455323111144
11702877a810a860
122323957118b120
13a539592257960
1443c2c8641169a
151d06c45505249
hexdc8307686ee8

242455323111144 has 128 divisors (see below), whose sum is σ = 712448758788480. Its totient is φ = 67787078860800.

The previous prime is 242455323111137. The next prime is 242455323111163. The reversal of 242455323111144 is 441111323554242.

It is a junction number, because it is equal to n+sod(n) for n = 242455323111096 and 242455323111105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9831937 + ... + 24115920.

It is an arithmetic number, because the mean of its divisors is an integer number (5566005928035).

Almost surely, 2242455323111144 is an apocalyptic number.

242455323111144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242455323111144 is an abundant number, since it is smaller than the sum of its proper divisors (469993435677336).

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

242455323111144 is a wasteful number, since it uses less digits than its factorization.

242455323111144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33949971 (or 33949967 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

Adding to 242455323111144 its reverse (441111323554242), we get a palindrome (683566646665386).

The spelling of 242455323111144 in words is "two hundred forty-two trillion, four hundred fifty-five billion, three hundred twenty-three million, one hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 2081 3432 4162 6243 8324 12486 16648 22891 24972 27053 45782 49944 54106 68673 81159 91564 108212 137346 162318 183128 216424 274692 297583 324636 549384 595166 649272 892749 1190332 1785498 2380664 3570996 7141992 33947857 67895714 101843571 135791428 203687142 271582856 373426427 407374284 441322141 746852854 814748568 882644282 1120279281 1323966423 1493705708 1765288564 2240558562 2647932846 2987411416 3530577128 4481117124 4854543551 5295865692 8962234248 9709087102 10591731384 14563630653 19418174204 29127261306 38836348408 58254522612 70645490417 116509045224 141290980834 211936471251 282581961668 423872942502 565163923336 777100394587 847745885004 918391375421 1554200789174 1695491770008 1836782750842 2331301183761 2755174126263 3108401578348 3673565501684 4662602367522 5510348252526 6216803156696 7347131003368 9325204735044 10102305129631 11020696505052 18650409470088 20204610259262 22041393010104 30306915388893 40409220518524 60613830777786 80818441037048 121227661555572 242455323111144