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114300023243430 = 235373132273144737
BaseRepresentation
bin11001111111010010001100…
…010010001000001010100110
3112222200222100010220101210010
4121333102030102020022212
5104440142421422242210
61043032412241111050
733034622062153413
oct3177221422101246
9488628303811703
10114300023243430
1133468405364202
12109a013a628486
134ba15a49762ab
14203221751310a
15d33314e1d920
hex67f48c4882a6

114300023243430 has 128 divisors (see below), whose sum is σ = 282760518066048. Its totient is φ = 29548264292352.

The previous prime is 114300023243407. The next prime is 114300023243431. The reversal of 114300023243430 is 34342320003411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114300023243431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 789636022 + ... + 789780758.

It is an arithmetic number, because the mean of its divisors is an integer number (2209066547391).

Almost surely, 2114300023243430 is an apocalyptic number.

114300023243430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114300023243430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141380259033024).

114300023243430 is an abundant number, since it is smaller than the sum of its proper divisors (168460494822618).

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

114300023243430 is a wasteful number, since it uses less digits than its factorization.

114300023243430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147370.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 114300023243430 its reverse (34342320003411), we get a palindrome (148642343246841).

The spelling of 114300023243430 in words is "one hundred fourteen trillion, three hundred billion, twenty-three million, two hundred forty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 313 370 555 626 939 1110 1565 1878 2273 3130 4546 4695 6819 9390 11365 11581 13638 22730 23162 34095 34743 57905 68190 69486 84101 115810 144737 168202 173715 252303 289474 347430 420505 434211 504606 711449 723685 841010 868422 1261515 1422898 1447370 2134347 2171055 2523030 3557245 4268694 4342110 5355269 7114490 10671735 10710538 16065807 21343470 26323613 26776345 32131614 45302681 52647226 53552690 78970839 80329035 90605362 131618065 135908043 157941678 160658070 226513405 263236130 271816086 328987201 394854195 453026810 657974402 679540215 789708390 986961603 1359080430 1644936005 1676199197 1973923206 3289872010 3352398394 4934808015 5028597591 8380995985 9869616030 10057195182 12172526437 16761991970 24345052874 25142987955 36517579311 50285975910 60862632185 73035158622 102972993913 121725264370 182587896555 205945987826 308918981739 365175793110 514864969565 617837963478 1029729939130 1544594908695 3089189817390 3810000774781 7620001549562 11430002324343 19050003873905 22860004648686 38100007747810 57150011621715 114300023243430