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1242134424 = 2332194719319
BaseRepresentation
bin100101000001001…
…0111011110011000
310012120021222002200
41022002113132120
510020441300144
6323131130200
742531653106
oct11202273630
93176258080
101242134424
11588174a83
122a7ba3960
1316a4576ab
14bad7ac76
15740aec69
hex4a097798

1242134424 has 96 divisors (see below), whose sum is σ = 3616704000. Its totient is φ = 383887296.

The previous prime is 1242134419. The next prime is 1242134479. The reversal of 1242134424 is 4244312421.

1242134424 is a `hidden beast` number, since 1 + 2 + 4 + 213 + 442 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54637 + ... + 73955.

It is an arithmetic number, because the mean of its divisors is an integer number (37674000).

Almost surely, 21242134424 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 1242134424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808352000).

1242134424 is an abundant number, since it is smaller than the sum of its proper divisors (2374569576).

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

1242134424 is a wasteful number, since it uses less digits than its factorization.

1242134424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19397 (or 19390 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 1242134424 is about 35243.9274769427. The cubic root of 1242134424 is about 1074.9531399080.

Adding to 1242134424 its reverse (4244312421), we get a palindrome (5486446845).

The spelling of 1242134424 in words is "one billion, two hundred forty-two million, one hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 47 57 72 76 94 114 141 152 171 188 228 282 342 376 423 456 564 684 846 893 1128 1368 1692 1786 2679 3384 3572 5358 7144 8037 10716 16074 19319 21432 32148 38638 57957 64296 77276 115914 154552 173871 231828 347742 367061 463656 695484 734122 907993 1101183 1390968 1468244 1815986 2202366 2723979 2936488 3303549 3631972 4404732 5447958 6607098 7263944 8171937 8809464 10895916 13214196 16343874 17251867 21791832 26428392 32687748 34503734 51755601 65375496 69007468 103511202 138014936 155266803 207022404 310533606 414044808 621067212 1242134424