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142002326832 = 2437910123671
BaseRepresentation
bin1000010000111111111…
…1111000110100110000
3111120112101102121210020
42010033333320310300
54311310043424312
6145122430403440
713154643601602
oct2041777706460
9446471377706
10142002326832
115524a67aa03
1223630360580
1310510672482
146c31531172
153a618e378c
hex210fff8d30

142002326832 has 120 divisors (see below), whose sum is σ = 375299550720. Its totient is φ = 46259616000.

The previous prime is 142002326819. The next prime is 142002326861. The reversal of 142002326832 is 238623200241.

It is a junction number, because it is equal to n+sod(n) for n = 142002326793 and 142002326802.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38680357 + ... + 38684027.

It is an arithmetic number, because the mean of its divisors is an integer number (3127496256).

Almost surely, 2142002326832 is an apocalyptic number.

142002326832 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 142002326832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187649775360).

142002326832 is an abundant number, since it is smaller than the sum of its proper divisors (233297223888).

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

142002326832 is a wasteful number, since it uses less digits than its factorization.

142002326832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3963 (or 3856 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 142002326832 in words is "one hundred forty-two billion, two million, three hundred twenty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 101 158 202 237 303 316 404 474 606 632 808 948 1212 1264 1616 1896 2424 3671 3792 4848 7342 7979 10201 11013 14684 15958 20402 22026 23937 29368 30603 31916 40804 44052 47874 58736 61206 63832 81608 88104 95748 122412 127664 163216 176208 191496 244824 290009 370771 382992 489648 580018 741542 805879 870027 1112313 1160036 1483084 1611758 1740054 2224626 2320072 2417637 2966168 3223516 3480108 4449252 4640144 4835274 5932336 6447032 6960216 8898504 9670548 12894064 13920432 17797008 19341096 29290909 37447871 38682192 58581818 74895742 87872727 112343613 117163636 149791484 175745454 224687226 234327272 299582968 351490908 449374452 468654544 599165936 702981816 898748904 1405963632 1797497808 2958381809 5916763618 8875145427 11833527236 17750290854 23667054472 35500581708 47334108944 71001163416 142002326832