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114042031002440 = 23537109706930517
BaseRepresentation
bin11001111011100001111010…
…101111110101001101001000
3112221210022102012222122010022
4121323201322233311031020
5104421431034414034230
61042314104044040012
733010156561250462
oct3173417257651510
9487708365878108
10114042031002440
1133378a54482012
121095a139533008
134b8316ab5cb28
142023941497132
15d2b76563d1e5
hex67b87abf5348

114042031002440 has 64 divisors (see below), whose sum is σ = 265947260871600. Its totient is φ = 43976733539328.

The previous prime is 114042031002421. The next prime is 114042031002443. The reversal of 114042031002440 is 44200130240411.

It can be written as a sum of positive squares in 8 ways, for example, as 99347428113124 + 14694602889316 = 9967318^2 + 3833354^2 .

It is a super-2 number, since 2×1140420310024402 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114042031002443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353303939 + ... + 353626578.

Almost surely, 2114042031002440 is an apocalyptic number.

114042031002440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114042031002440 is an abundant number, since it is smaller than the sum of its proper divisors (151905229869160).

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

114042031002440 is a wasteful number, since it uses less digits than its factorization.

114042031002440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706930674 (or 706930670 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 114042031002440 its reverse (44200130240411), we get a palindrome (158242161242851).

The spelling of 114042031002440 in words is "one hundred fourteen trillion, forty-two billion, thirty-one million, two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 109 148 185 218 296 370 436 545 740 872 1090 1480 2180 4033 4360 8066 16132 20165 32264 40330 80660 161320 706930517 1413861034 2827722068 3534652585 5655444136 7069305170 14138610340 26156429129 28277220680 52312858258 77055426353 104625716516 130782145645 154110852706 209251433032 261564291290 308221705412 385277131765 523128582580 616443410824 770554263530 1046257165160 1541108527060 2851050775061 3082217054120 5702101550122 11404203100244 14255253875305 22808406200488 28510507750610 57021015501220 114042031002440