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114155441010 = 232513404924097
BaseRepresentation
bin110101001010000110…
…0011100101101110010
3101220122200121020210200
41222110030130231302
53332242243103020
6124235311140030
711150610144552
oct1522414345562
9356580536720
10114155441010
114445a852486
121a15a514616
13a9c33a3c40
14574d03b162
152e81d24590
hex1a9431cb72

114155441010 has 96 divisors (see below), whose sum is σ = 319727444400. Its totient is φ = 28091695104.

The previous prime is 114155441003. The next prime is 114155441041. The reversal of 114155441010 is 10144551411.

It is a happy number.

114155441010 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 554 + 4 + 101 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 30534417081 + 83621023929 = 174741^2 + 289173^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4725282 + ... + 4749378.

Almost surely, 2114155441010 is an apocalyptic number.

114155441010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114155441010 is an abundant number, since it is smaller than the sum of its proper divisors (205572003390).

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

114155441010 is a wasteful number, since it uses less digits than its factorization.

114155441010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28172 (or 28169 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 114155441010 its reverse (10144551411), we get a palindrome (124299992421).

The spelling of 114155441010 in words is "one hundred fourteen billion, one hundred fifty-five million, four hundred forty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 4049 8098 12147 20245 24097 24294 36441 40490 48194 52637 60735 72291 72882 105274 120485 121470 144582 157911 182205 216873 240970 263185 313261 315822 361455 364410 433746 473733 526370 626522 722910 789555 939783 947466 1084365 1566305 1579110 1879566 2168730 2368665 2819349 3132610 4698915 4737330 5638698 9397830 14096745 28193490 97568753 195137506 292706259 487843765 585412518 878118777 975687530 1268393789 1463531295 1756237554 2536787578 2927062590 3805181367 4390593885 6341968945 7610362734 8781187770 11415544101 12683937890 19025906835 22831088202 38051813670 57077720505 114155441010