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234361161136 = 24312101229659
BaseRepresentation
bin1101101001000100000…
…0111000010110110000
3211101221000212112021001
43122101000320112300
512314432424124021
6255355233011344
722634455000234
oct3322100702660
9741830775231
10234361161136
1190434847133
12395070b3b54
131913c09909b
14b4b38145c4
156169db4091
hex36910385b0

234361161136 has 120 divisors (see below), whose sum is σ = 476631658800. Its totient is φ = 111617856000.

The previous prime is 234361161131. The next prime is 234361161143. The reversal of 234361161136 is 631161163432.

It is a junction number, because it is equal to n+sod(n) for n = 234361161095 and 234361161104.

It is not an unprimeable number, because it can be changed into a prime (234361161131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355631175 + ... + 355631833.

It is an arithmetic number, because the mean of its divisors is an integer number (3971930490).

Almost surely, 2234361161136 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 234361161136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238315829400).

234361161136 is an abundant number, since it is smaller than the sum of its proper divisors (242270497664).

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

234361161136 is a wasteful number, since it uses less digits than its factorization.

234361161136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1022 counting only the distinct ones).

The product of its digits is 46656, while the sum is 37.

The spelling of 234361161136 in words is "two hundred thirty-four billion, three hundred sixty-one million, one hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 31 62 101 124 202 229 248 404 458 496 659 808 916 961 1318 1616 1832 1922 2636 3131 3664 3844 5272 6262 7099 7688 10544 12524 14198 15376 20429 23129 25048 28396 40858 46258 50096 56792 66559 81716 92516 97061 113584 133118 150911 163432 185032 194122 220069 266236 301822 326864 370064 388244 440138 532472 603644 633299 716999 776488 880276 1064944 1207288 1266598 1433998 1552976 1760552 2063329 2414576 2533196 2867996 3521104 4126658 4678241 5066392 5735992 8253316 9356482 10132784 11471984 15242011 16506632 18712964 22226969 30484022 33013264 37425928 44453938 60968044 63963199 74851856 88907876 121936088 127926398 145025471 177815752 243872176 255852796 290050942 355631504 472502341 511705592 580101884 945004682 1023411184 1160203768 1890009364 2320407536 3780018728 7560037456 14647572571 29295145142 58590290284 117180580568 234361161136