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114032136540 = 223572231686367
BaseRepresentation
bin110101000110011011…
…0000101000101011100
3101220100002120201212110
41222030312011011130
53332014211332130
6124215144234020
711144552111400
oct1521466050534
9356302521773
10114032136540
11443a7193a63
121a12516b910
13a9a3990c0a
14573a901100
152e760b9ab0
hex1a8cd8515c

114032136540 has 144 divisors (see below), whose sum is σ = 387567839232. Its totient is φ = 24931234944.

The previous prime is 114032136523. The next prime is 114032136541. The reversal of 114032136540 is 45631230411.

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

It is a junction number, because it is equal to n+sod(n) for n = 114032136498 and 114032136507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114032136541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 775564 + ... + 910803.

It is an arithmetic number, because the mean of its divisors is an integer number (2691443328).

Almost surely, 2114032136540 is an apocalyptic number.

114032136540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114032136540 is an abundant number, since it is smaller than the sum of its proper divisors (273535702692).

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

114032136540 is a wasteful number, since it uses less digits than its factorization.

114032136540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686416 (or 1686407 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 114032136540 its reverse (45631230411), we get a palindrome (159663366951).

The spelling of 114032136540 in words is "one hundred fourteen billion, thirty-two million, one hundred thirty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 49 60 69 70 84 92 98 105 115 138 140 147 161 196 210 230 245 276 294 322 345 420 460 483 490 588 644 690 735 805 966 980 1127 1380 1470 1610 1932 2254 2415 2940 3220 3381 4508 4830 5635 6762 9660 11270 13524 16905 22540 33810 67620 1686367 3372734 5059101 6745468 8431835 10118202 11804569 16863670 20236404 23609138 25295505 33727340 35413707 38786441 47218276 50591010 59022845 70827414 77572882 82631983 101182020 116359323 118045690 141654828 155145764 165263966 177068535 193932205 232718646 236091380 247895949 271505087 330527932 354137070 387864410 413159915 465437292 495791898 543010174 581796615 708274140 775728820 814515261 826319830 991583796 1086020348 1163593230 1239479745 1357525435 1629030522 1652639660 1900535609 2327186460 2478959490 2715050870 3258061044 3801071218 4072576305 4957918980 5430101740 5701606827 7602142436 8145152610 9502678045 11403213654 16290305220 19005356090 22806427308 28508034135 38010712180 57016068270 114032136540