Search a number
-
+
1242142121424 = 24383353883237
BaseRepresentation
bin10010000100110101011…
…100001001110111010000
311101202012000112200122110
4102010311130021313100
5130322401340341144
62350344320305320
7155512303552551
oct22046534116720
94352160480573
101242142121424
11439875932716
1218089aa72240
13901973b5429
14441973c8328
152249e7aa0b9
hex12135709dd0

1242142121424 has 80 divisors (see below), whose sum is σ = 3256731680832. Its totient is φ = 407899582464.

The previous prime is 1242142121399. The next prime is 1242142121449. The reversal of 1242142121424 is 4241212412421.

It is an interprime number because it is at equal distance from previous prime (1242142121399) and next prime (1242142121449).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1242142121391 and 1242142121400.

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, 964734 + ... + 1847970.

Almost surely, 21242142121424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242142121424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628365840416).

1242142121424 is an abundant number, since it is smaller than the sum of its proper divisors (2014589559408).

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

1242142121424 is a wasteful number, since it uses less digits than its factorization.

1242142121424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883684 (or 883678 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

Adding to 1242142121424 its reverse (4241212412421), we get a palindrome (5483354533845).

The spelling of 1242142121424 in words is "one trillion, two hundred forty-two billion, one hundred forty-two million, one hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 353 498 664 706 996 1059 1328 1412 1992 2118 2824 3984 4236 5648 8472 16944 29299 58598 87897 117196 175794 234392 351588 468784 703176 883237 1406352 1766474 2649711 3532948 5299422 7065896 10598844 14131792 21197688 42395376 73308671 146617342 219926013 293234684 311782661 439852026 586469368 623565322 879704052 935347983 1172938736 1247130644 1759408104 1870695966 2494261288 3518816208 3741391932 4988522576 7482783864 14965567728 25877960863 51755921726 77633882589 103511843452 155267765178 207023686904 310535530356 414047373808 621071060712 1242142121424