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142098041772 = 223717393893
BaseRepresentation
bin1000010001010110110…
…1000000101110101100
3111120210001112110000000
42010111231000232230
54312004044314042
6145140130104300
713160215266111
oct2042555005654
9446701473000
10142098041772
1155299704a65
122365841b090
131052744572b
146c40128908
153a69eed74c
hex2115b40bac

142098041772 has 96 divisors (see below), whose sum is σ = 375110285760. Its totient is φ = 47091720384.

The previous prime is 142098041753. The next prime is 142098041773. The reversal of 142098041772 is 277140890241.

142098041772 is a `hidden beast` number, since 142 + 0 + 98 + 0 + 417 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (142098041773) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1466458 + ... + 1560350.

It is an arithmetic number, because the mean of its divisors is an integer number (3907398810).

Almost surely, 2142098041772 is an apocalyptic number.

142098041772 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 142098041772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187555142880).

142098041772 is an abundant number, since it is smaller than the sum of its proper divisors (233012243988).

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

142098041772 is an equidigital number, since it uses as much as digits as its factorization.

142098041772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94091 (or 94071 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 142098041772 in words is "one hundred forty-two billion, ninety-eight million, forty-one thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 173 243 324 346 486 519 692 729 972 1038 1458 1557 2076 2187 2916 3114 4374 4671 6228 8748 9342 14013 18684 28026 42039 56052 84078 93893 126117 168156 187786 252234 281679 375572 378351 504468 563358 756702 845037 1126716 1513404 1690074 2535111 3380148 5070222 7605333 10140444 15210666 16243489 22815999 30421332 32486978 45631998 48730467 64973956 68447997 91263996 97460934 136895994 146191401 194921868 205343991 273791988 292382802 410687982 438574203 584765604 821375964 877148406 1315722609 1754296812 2631445218 3947167827 5262890436 7894335654 11841503481 15788671308 23683006962 35524510443 47366013924 71049020886 142098041772