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1211412143144 = 2371712377102811
BaseRepresentation
bin10001101000001101110…
…010100101110000101000
311021210212101200001022202
4101220031302211300220
5124321433002040034
62324303130235332
7153343631214260
oct21501562456050
94253771601282
101211412143144
11427836634155
12176943585b48
138a30aa15b28
14428c00407a0
15217a1a3b47e
hex11a0dca5c28

1211412143144 has 64 divisors (see below), whose sum is σ = 2748830981760. Its totient is φ = 488592599040.

The previous prime is 1211412143141. The next prime is 1211412143171. The reversal of 1211412143144 is 4413412141121.

It is a super-3 number, since 3×12114121431443 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1211412143141) 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 15 ways as a sum of consecutive naturals, for example, 11731499 + ... + 11834309.

It is an arithmetic number, because the mean of its divisors is an integer number (42950484090).

Almost surely, 21211412143144 is an apocalyptic number.

1211412143144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1211412143144 is an abundant number, since it is smaller than the sum of its proper divisors (1537418838616).

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

1211412143144 is a wasteful number, since it uses less digits than its factorization.

1211412143144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115218 (or 115214 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

Adding to 1211412143144 its reverse (4413412141121), we get a palindrome (5624824284265).

The spelling of 1211412143144 in words is "one trillion, two hundred eleven billion, four hundred twelve million, one hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 12377 24754 49508 86639 99016 102811 173278 205622 210409 346556 411244 420818 693112 719677 822488 841636 1439354 1472863 1683272 1747787 2878708 2945726 3495574 5757416 5891452 6991148 11782904 12234509 13982296 24469018 48938036 97876072 1272491747 2544983494 5089966988 8907442229 10179933976 17814884458 21632359699 35629768916 43264719398 71259537832 86529438796 151426517893 173058877592 302853035786 605706071572 1211412143144