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114110011410 = 23531415950723
BaseRepresentation
bin110101001000101111…
…1001001100000010010
3101220112112010012002220
41222101133021200102
53332144130331120
6124231005321510
711146516044003
oct1522137114022
9356475105086
10114110011410
114443714355a
121a147266296
13a9b6b58c15
145746db31aa
152e7cd4db40
hex1a917c9812

114110011410 has 128 divisors (see below), whose sum is σ = 294507601920. Its totient is φ = 28242009600.

The previous prime is 114110011409. The next prime is 114110011423. The reversal of 114110011410 is 14110011411.

114110011410 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 114110011410.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2224309 + ... + 2275031.

It is an arithmetic number, because the mean of its divisors is an integer number (2300840640).

Almost surely, 2114110011410 is an apocalyptic number.

114110011410 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 114110011410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147253800960).

114110011410 is an abundant number, since it is smaller than the sum of its proper divisors (180397590510).

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

114110011410 is a wasteful number, since it uses less digits than its factorization.

114110011410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50864.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 114110011410 its reverse (14110011411), we get a palindrome (128220022821).

Subtracting from 114110011410 its reverse (14110011411), we obtain a palindrome (99999999999).

The spelling of 114110011410 in words is "one hundred fourteen billion, one hundred ten million, eleven thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 41 59 62 82 93 118 123 155 177 186 205 246 295 310 354 410 465 590 615 885 930 1230 1271 1770 1829 2419 2542 3658 3813 4838 5487 6355 7257 7626 9145 10974 12095 12710 14514 18290 19065 24190 27435 36285 38130 50723 54870 72570 74989 101446 149978 152169 224967 253615 304338 374945 449934 507230 749890 760845 1124835 1521690 1572413 2079643 2249670 2992657 3144826 4159286 4717239 5985314 6238929 7862065 8977971 9434478 10398215 12477858 14963285 15724130 17955942 20796430 23586195 29926570 31194645 44889855 47172390 62389290 64468933 89779710 92772367 122698937 128937866 185544734 193406799 245397874 278317101 322344665 368096811 386813598 463861835 556634202 613494685 644689330 736193622 927723670 967033995 1226989370 1391585505 1840484055 1934067990 2783171010 3680968110 3803667047 7607334094 11411001141 19018335235 22822002282 38036670470 57055005705 114110011410