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142506411405372 = 22347193679010973
BaseRepresentation
bin100000011001101111011100…
…000001111011000000111100
3200200120110221211111020120000
4200121233130001323000330
5122134311112304432442
61223030312553554300
742005514502515450
oct4031573401730074
9620513854436500
10142506411405372
11414526a2116253
1213b96844a15990
1361693b2494311
1427294c06a2660
151171dbadecd4c
hex819bdc07b03c

142506411405372 has 240 divisors, whose sum is σ = 449389528304640. Its totient is φ = 38468055731328.

The previous prime is 142506411405361. The next prime is 142506411405383. The reversal of 142506411405372 is 273504114605241.

It is a happy number.

142506411405372 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 0 + 64 + 11 + 40 + 537 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (142506411405361) and next prime (142506411405383).

It is a super-3 number, since 3×1425064114053723 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11309278 + ... + 20320250.

It is an arithmetic number, because the mean of its divisors is an integer number (1872456367936).

Almost surely, 2142506411405372 is an apocalyptic number.

142506411405372 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 142506411405372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224694764152320).

142506411405372 is an abundant number, since it is smaller than the sum of its proper divisors (306883116899268).

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

142506411405372 is a wasteful number, since it uses less digits than its factorization.

142506411405372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9011382 (or 9011371 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 142506411405372 in words is "one hundred forty-two trillion, five hundred six billion, four hundred eleven million, four hundred five thousand, three hundred seventy-two".