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234361210140 = 223351069405989
BaseRepresentation
bin1101101001000100000…
…1000100010100011100
3211101221000222000111000
43122101001010110130
512314432432211030
6255355234030300
722634455263141
oct3322101042434
9741830860430
10234361210140
119043487aa32
1239507118390
131913c0b5495
14b4b38283c8
156169dc3860
hex369104451c

234361210140 has 96 divisors (see below), whose sum is σ = 729807624000. Its totient is φ = 62437706496.

The previous prime is 234361210133. The next prime is 234361210141. The reversal of 234361210140 is 41012163432.

It is a happy number.

234361210140 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 612 + 1 + 0 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234361210141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374266 + ... + 780254.

It is an arithmetic number, because the mean of its divisors is an integer number (7602162750).

Almost surely, 2234361210140 is an apocalyptic number.

234361210140 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 234361210140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364903812000).

234361210140 is an abundant number, since it is smaller than the sum of its proper divisors (495446413860).

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

234361210140 is a wasteful number, since it uses less digits than its factorization.

234361210140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407076 (or 407068 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 234361210140 its reverse (41012163432), we get a palindrome (275373373572).

The spelling of 234361210140 in words is "two hundred thirty-four billion, three hundred sixty-one million, two hundred ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1069 2138 3207 4276 5345 6414 9621 10690 12828 16035 19242 21380 28863 32070 38484 48105 57726 64140 96210 115452 144315 192420 288630 405989 577260 811978 1217967 1623956 2029945 2435934 3653901 4059890 4871868 6089835 7307802 8119780 10961703 12179670 14615604 18269505 21923406 24359340 36539010 43846812 54808515 73078020 109617030 219234060 434002241 868004482 1302006723 1736008964 2170011205 2604013446 3906020169 4340022410 5208026892 6510033615 7812040338 8680044820 11718060507 13020067230 15624080676 19530100845 23436121014 26040134460 39060201690 46872242028 58590302535 78120403380 117180605070 234361210140