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142344007572 = 2231317228123531
BaseRepresentation
bin1000010010010001011…
…1010010111110010100
3111121102012100210122110
42010210113102332110
54313010031220242
6145220354031020
713166263046424
oct2044427227624
9447365323573
10142344007572
1155405532788
1223706878470
13105663a4b20
146c64a74484
153a818d739c
hex21245d2f94

142344007572 has 96 divisors (see below), whose sum is σ = 378907369344. Its totient is φ = 41201971200.

The previous prime is 142344007483. The next prime is 142344007573. The reversal of 142344007572 is 275700443241.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 142344007572.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142344007573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6037447 + ... + 6060977.

It is an arithmetic number, because the mean of its divisors is an integer number (3946951764).

Almost surely, 2142344007572 is an apocalyptic number.

142344007572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142344007572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189453684672).

142344007572 is an abundant number, since it is smaller than the sum of its proper divisors (236563361772).

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

142344007572 is a wasteful number, since it uses less digits than its factorization.

142344007572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25849 (or 25847 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The spelling of 142344007572 in words is "one hundred forty-two billion, three hundred forty-four million, seven thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1326 2281 2652 4562 6843 9124 13686 23531 27372 29653 38777 47062 59306 70593 77554 88959 94124 116331 118612 141186 155108 177918 232662 282372 305903 355836 400027 465324 504101 611806 800054 917709 1008202 1200081 1223612 1512303 1600108 1835418 2016404 2400162 3024606 3670836 4800324 5200351 6049212 10400702 15601053 20801404 31202106 53674211 62404212 107348422 161022633 214696844 322045266 644090532 697764743 912461587 1395529486 1824923174 2093294229 2737384761 2791058972 3649846348 4186588458 5474769522 8373176916 10949539044 11862000631 23724001262 35586001893 47448002524 71172003786 142344007572