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234232234040 = 235737186112149
BaseRepresentation
bin1101101000100101010…
…1000100000000111000
3211101121001021100112102
43122021111010000320
512314201422442130
6255334345402532
722631331065420
oct3321125040070
9741531240472
10234232234040
1190378a98312
123948ba99448
131911b467a6c
14b4a0653480
15615d8e8645
hex3689544038

234232234040 has 128 divisors (see below), whose sum is σ = 618973488000. Its totient is φ = 78089287680.

The previous prime is 234232234039. The next prime is 234232234043. The reversal of 234232234040 is 40432232432.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 234232233994 and 234232234012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234232234043) 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, 19273886 + ... + 19286034.

It is an arithmetic number, because the mean of its divisors is an integer number (4835730375).

Almost surely, 2234232234040 is an apocalyptic number.

234232234040 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 234232234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309486744000).

234232234040 is an abundant number, since it is smaller than the sum of its proper divisors (384741253960).

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

234232234040 is a wasteful number, since it uses less digits than its factorization.

234232234040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14065 (or 14061 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 234232234040 its reverse (40432232432), we get a palindrome (274664466472).

The spelling of 234232234040 in words is "two hundred thirty-four billion, two hundred thirty-two million, two hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 518 740 1036 1295 1480 1861 2072 2590 3722 5180 7444 9305 10360 12149 13027 14888 18610 24298 26054 37220 48596 52108 60745 65135 68857 74440 85043 97192 104216 121490 130270 137714 170086 242980 260540 275428 340172 344285 425215 449513 481999 485960 521080 550856 680344 688570 850430 899026 963998 1377140 1700860 1798052 1927996 2247565 2409995 2754280 3146591 3401720 3596104 3855992 4495130 4819990 6293182 8990260 9639980 12586364 15732955 17980520 19279960 22609289 25172728 31465910 45218578 62931820 90437156 113046445 125863640 158265023 180874312 226092890 316530046 452185780 633060092 791325115 836543693 904371560 1266120184 1582650230 1673087386 3165300460 3346174772 4182718465 5855805851 6330600920 6692349544 8365436930 11711611702 16730873860 23423223404 29279029255 33461747720 46846446808 58558058510 117116117020 234232234040