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142855142864 = 24723255121739
BaseRepresentation
bin1000010100001011010…
…1000111110111010000
3111122201211011011110012
42011002311013313100
54320031404032424
6145343213254052
713215040451660
oct2050265076720
9448654134405
10142855142864
1155648005245
1223829a94328
1310618258445
146cb28c81a0
153ab16eeb0e
hex2142d47dd0

142855142864 has 80 divisors (see below), whose sum is σ = 330219816960. Its totient is φ = 58536086400.

The previous prime is 142855142831. The next prime is 142855142867. The reversal of 142855142864 is 468241558241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142855142867) 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 15 ways as a sum of consecutive naturals, for example, 6560507 + ... + 6582245.

It is an arithmetic number, because the mean of its divisors is an integer number (4127747712).

Almost surely, 2142855142864 is an apocalyptic number.

142855142864 is a gapful number since it is divisible by the number (14) 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 142855142864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165109908480).

142855142864 is an abundant number, since it is smaller than the sum of its proper divisors (187364674096).

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

142855142864 is a wasteful number, since it uses less digits than its factorization.

142855142864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24328 (or 24322 counting only the distinct ones).

The product of its digits is 2457600, while the sum is 50.

The spelling of 142855142864 in words is "one hundred forty-two billion, eight hundred fifty-five million, one hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1288 2551 2576 5102 10204 17857 20408 21739 35714 40816 43478 58673 71428 86956 117346 142856 152173 173912 234692 285712 304346 347824 410711 469384 499997 608692 821422 938768 999994 1217384 1642844 1999988 2434768 3285688 3499979 3999976 6571376 6999958 7999952 13999916 27999832 55456189 55999664 110912378 221824756 388193323 443649512 776386646 887299024 1275492347 1552773292 2550984694 3105546584 5101969388 6211093168 8928446429 10203938776 17856892858 20407877552 35713785716 71427571432 142855142864