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142441221424 = 24293536011447
BaseRepresentation
bin1000010010101000101…
…0001000110100110000
3111121122222021202222111
42010222022020310300
54313204423041144
6145234145415104
713201553255635
oct2045212106460
9447588252874
10142441221424
11554553a0a07
122373333a494
1310580581408
146c7393c18c
153a8a1db534
hex212a288d30

142441221424 has 80 divisors (see below), whose sum is σ = 286979757120. Its totient is φ = 68408524800.

The previous prime is 142441221421. The next prime is 142441221427. The reversal of 142441221424 is 424122144241.

It is an interprime number because it is at equal distance from previous prime (142441221421) and next prime (142441221427).

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

It is not an unprimeable number, because it can be changed into a prime (142441221421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98438269 + ... + 98439715.

It is an arithmetic number, because the mean of its divisors is an integer number (3587246964).

Almost surely, 2142441221424 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 142441221424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143489878560).

142441221424 is an abundant number, since it is smaller than the sum of its proper divisors (144538535696).

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

142441221424 is a wasteful number, since it uses less digits than its factorization.

142441221424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2432 counting only the distinct ones).

The product of its digits is 16384, while the sum is 31.

Adding to 142441221424 its reverse (424122144241), we get a palindrome (566563365665).

The spelling of 142441221424 in words is "one hundred forty-two billion, four hundred forty-one million, two hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 116 232 353 464 601 706 1202 1412 1447 2404 2824 2894 4808 5648 5788 9616 10237 11576 17429 20474 23152 34858 40948 41963 69716 81896 83926 139432 163792 167852 212153 278864 335704 424306 510791 671408 848612 869647 1021582 1697224 1739294 2043164 3394448 3478588 4086328 6152437 6957176 8172656 12304874 13914352 14812939 24609748 25219763 29625878 49219496 50439526 59251756 98438992 100879052 118503512 201758104 237007024 306985391 403516208 613970782 1227941564 2455883128 4911766256 8902576339 17805152678 35610305356 71220610712 142441221424