Search a number
-
+
2130234412440 = 233543141187827
BaseRepresentation
bin11110111111111011110…
…111011000110110011000
321112122111200212111000010
4132333323313120312120
5234400210002144230
64310341032241520
7306622123513431
oct36777367306630
97478450774003
102130234412440
11751477877502
122a4a2b2402a0
13125b59b81694
1475165138488
153a62b6e69b0
hex1effbdd8d98

2130234412440 has 64 divisors (see below), whose sum is σ = 6405531010560. Its totient is φ = 566744485760.

The previous prime is 2130234412429. The next prime is 2130234412469. The reversal of 2130234412440 is 442144320312.

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 = 2130234412398 and 2130234412407.

It is a congruent number.

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, 20542194 + ... + 20645633.

It is an arithmetic number, because the mean of its divisors is an integer number (100086422040).

Almost surely, 22130234412440 is an apocalyptic number.

2130234412440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130234412440 is an abundant number, since it is smaller than the sum of its proper divisors (4275296598120).

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

2130234412440 is a wasteful number, since it uses less digits than its factorization.

2130234412440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41188272 (or 41188268 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 2130234412440 its reverse (442144320312), we get a palindrome (2572378732752).

The spelling of 2130234412440 in words is "two trillion, one hundred thirty billion, two hundred thirty-four million, four hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 431 862 1293 1724 2155 2586 3448 4310 5172 6465 8620 10344 12930 17240 25860 51720 41187827 82375654 123563481 164751308 205939135 247126962 329502616 411878270 494253924 617817405 823756540 988507848 1235634810 1647513080 2471269620 4942539240 17751953437 35503906874 53255860311 71007813748 88759767185 106511720622 142015627496 177519534370 213023441244 266279301555 355039068740 426046882488 532558603110 710078137480 1065117206220 2130234412440