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2412141152340 = 22351712718620821
BaseRepresentation
bin100011000110011110110…
…100010000100001010100
322112121011021010122220210
4203012132310100201110
5304010031113333330
65044042232125420
7336162051332463
oct43063664204124
98477137118823
102412141152340
1184aa8a883687
1232b5a5236870
13146605358c0a
1484a692d49da
1542b2a7298b0
hex2319ed10854

2412141152340 has 96 divisors (see below), whose sum is σ = 7207598813184. Its totient is φ = 600633169920.

The previous prime is 2412141152287. The next prime is 2412141152381. The reversal of 2412141152340 is 432511412142.

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 = 2412141152298 and 2412141152307.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9180871 + ... + 9439950.

It is an arithmetic number, because the mean of its divisors is an integer number (75079154304).

Almost surely, 22412141152340 is an apocalyptic number.

2412141152340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2412141152340 is an abundant number, since it is smaller than the sum of its proper divisors (4795457660844).

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

2412141152340 is a wasteful number, since it uses less digits than its factorization.

2412141152340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18620977 (or 18620975 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 2412141152340 its reverse (432511412142), we get a palindrome (2844652564482).

The spelling of 2412141152340 in words is "two trillion, four hundred twelve billion, one hundred forty-one million, one hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 127 170 204 254 255 340 381 508 510 635 762 1020 1270 1524 1905 2159 2540 3810 4318 6477 7620 8636 10795 12954 21590 25908 32385 43180 64770 129540 18620821 37241642 55862463 74483284 93104105 111724926 186208210 223449852 279312315 316553957 372416420 558624630 633107914 949661871 1117249260 1266215828 1582769785 1899323742 2364844267 3165539570 3798647484 4729688534 4748309355 6331079140 7094532801 9459377068 9496618710 11824221335 14189065602 18993237420 23648442670 28378131204 35472664005 40202352539 47296885340 70945328010 80404705078 120607057617 141890656020 160809410156 201011762695 241214115234 402023525390 482428230468 603035288085 804047050780 1206070576170 2412141152340