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114243013412040 = 23358581110945707
BaseRepresentation
bin11001111110011101000110…
…001110111000010011001000
3112222111112012000211220020110
4121332131012032320103020
5104433224142413141130
61042550303230354320
733030533241453432
oct3176350616702310
9488445160756213
10114243013412040
113344620a842077
121099108a05b9a0
134b990ba86a756
14202d569c27652
15d31ac9e6bab0
hex67e7463b84c8

114243013412040 has 64 divisors (see below), whose sum is σ = 342768983780160. Its totient is φ = 30461253039360.

The previous prime is 114243013411981. The next prime is 114243013412063. The reversal of 114243013412040 is 40214310342411.

It is a happy number.

114243013412040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1142430134120402 (a number of 29 digits) contains 22 as substring.

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 = 114243013411989 and 114243013412007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54443134 + ... + 56502573.

It is an arithmetic number, because the mean of its divisors is an integer number (5355765371565).

Almost surely, 2114243013412040 is an apocalyptic number.

114243013412040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114243013412040 is an abundant number, since it is smaller than the sum of its proper divisors (228525970368120).

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

114243013412040 is a wasteful number, since it uses less digits than its factorization.

114243013412040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110954302 (or 110954298 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 114243013412040 its reverse (40214310342411), we get a palindrome (154457323754451).

The spelling of 114243013412040 in words is "one hundred fourteen trillion, two hundred forty-three billion, thirteen million, four hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 8581 17162 25743 34324 42905 51486 68648 85810 102972 128715 171620 205944 257430 343240 514860 1029720 110945707 221891414 332837121 443782828 554728535 665674242 887565656 1109457070 1331348484 1664185605 2218914140 2662696968 3328371210 4437828280 6656742420 13313484840 952025111767 1904050223534 2856075335301 3808100447068 4760125558835 5712150670602 7616200894136 9520251117670 11424301341204 14280376676505 19040502235340 22848602682408 28560753353010 38081004470680 57121506706020 114243013412040