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142240003040424 = 233192296831994347
BaseRepresentation
bin100000010101110111010100…
…110110101010010010101000
3200122122000022101011002020110
4200111313110312222102220
5122120430011234243144
61222304053314054320
741650333606004142
oct4025672466522250
9618560271132213
10142240003040424
114135a712588613
1213b5309527a3a0
13614a236b6c353
14271a64a9bbc92
151169ec78260b9
hex815dd4daa4a8

142240003040424 has 128 divisors (see below), whose sum is σ = 376500992832000. Its totient is φ = 44656246888704.

The previous prime is 142240003040407. The next prime is 142240003040459. The reversal of 142240003040424 is 424040300042241.

It is a junction number, because it is equal to n+sod(n) for n = 142240003040391 and 142240003040400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70324419 + ... + 72318765.

It is an arithmetic number, because the mean of its divisors is an integer number (2941414006500).

Almost surely, 2142240003040424 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 142240003040424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188250496416000).

142240003040424 is an abundant number, since it is smaller than the sum of its proper divisors (234260989791576).

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

142240003040424 is a wasteful number, since it uses less digits than its factorization.

142240003040424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995287 (or 1995283 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 142240003040424 its reverse (424040300042241), we get a palindrome (566280303082665).

The spelling of 142240003040424 in words is "one hundred forty-two trillion, two hundred forty billion, three million, forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 229 456 458 683 687 916 1366 1374 1832 2049 2732 2748 4098 4351 5464 5496 8196 8702 12977 13053 16392 17404 25954 26106 34808 38931 51908 52212 77862 103816 104424 155724 156407 311448 312814 469221 625628 938442 1251256 1876884 1994347 2971733 3753768 3988694 5943466 5983041 7977388 8915199 11886932 11966082 15954776 17830398 23773864 23932164 35660796 37892593 47864328 71321592 75785186 113677779 151570372 227355558 303140744 454711116 456705463 909422232 913410926 1362139001 1370116389 1826821852 2724278002 2740232778 3653643704 4086417003 5448556004 5480465556 8172834006 8677403797 10897112008 10960931112 16345668012 17354807594 25880641019 26032211391 32691336024 34709615188 51761282038 52064422782 69419230376 77641923057 103522564076 104128845564 155283846114 207045128152 208257691128 310567692228 311929831229 621135384456 623859662458 935789493687 1247719324916 1871578987374 2495438649832 3743157974748 5926666793351 7486315949496 11853333586702 17780000380053 23706667173404 35560000760106 47413334346808 71120001520212 142240003040424