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234363142000 = 24531373123479
BaseRepresentation
bin1101101001000100100…
…0011011111101110000
3211101221011121011111101
43122101020123331300
512314433431021000
6255355343254144
722634510560321
oct3322110337560
9741834534441
10234363142000
119043597a409
12395078aa354
131913c6108b0
14b4b3bac448
15616a155e6a
hex369121bf70

234363142000 has 160 divisors (see below), whose sum is σ = 618646654080. Its totient is φ = 85347993600.

The previous prime is 234363141977. The next prime is 234363142003. The reversal of 234363142000 is 241363432.

234363142000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2343631420002 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 234363142000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234363142003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1836261 + ... + 1959739.

It is an arithmetic number, because the mean of its divisors is an integer number (3866541588).

Almost surely, 2234363142000 is an apocalyptic number.

234363142000 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 234363142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309323327040).

234363142000 is an abundant number, since it is smaller than the sum of its proper divisors (384283512080).

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

234363142000 is a wasteful number, since it uses less digits than its factorization.

234363142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123588 (or 123572 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The spelling of 234363142000 in words is "two hundred thirty-four billion, three hundred sixty-three million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 73 80 100 104 125 130 146 200 208 250 260 292 325 365 400 500 520 584 650 730 949 1000 1040 1168 1300 1460 1625 1825 1898 2000 2600 2920 3250 3650 3796 4745 5200 5840 6500 7300 7592 9125 9490 13000 14600 15184 18250 18980 23725 26000 29200 36500 37960 47450 73000 75920 94900 118625 123479 146000 189800 237250 246958 379600 474500 493916 617395 949000 987832 1234790 1605227 1898000 1975664 2469580 3086975 3210454 4939160 6173950 6420908 8026135 9013967 9878320 12347900 12841816 15434875 16052270 18027934 24695800 25683632 30869750 32104540 36055868 40130675 45069835 49391600 61739500 64209080 72111736 80261350 90139670 117181571 123479000 128418160 144223472 160522700 180279340 200653375 225349175 234363142 246958000 321045400 360558680 401306750 450698350 468726284 585907855 642090800 721117360 802613500 901396700 937452568 1126745875 1171815710 1605227000 1802793400 1874905136 2253491750 2343631420 2929539275 3210454000 3605586800 4506983500 4687262840 5859078550 9013967000 9374525680 11718157100 14647696375 18027934000 23436314200 29295392750 46872628400 58590785500 117181571000 234363142000