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142341501978 = 232131813360757
BaseRepresentation
bin1000010010010000110…
…1101111010000011010
3111121102000122111121200
42010210031233100122
54313003411030403
6145220224215030
713166232542454
oct2044415572032
9447360574550
10142341501978
1155404081245
1223705a6a476
1310565a08520
146c645c12d4
153a8158eca3
hex212436f41a

142341501978 has 48 divisors (see below), whose sum is σ = 333965243976. Its totient is φ = 43555397760.

The previous prime is 142341501971. The next prime is 142341501979. The reversal of 142341501978 is 879105143241.

142341501978 is a `hidden beast` number, since 1 + 42 + 3 + 415 + 0 + 197 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46914260409 + 95427241569 = 216597^2 + 308913^2 .

It is a super-2 number, since 2×1423415019782 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142341501971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1638025 + ... + 1722732.

Almost surely, 2142341501978 is an apocalyptic number.

142341501978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

142341501978 is an abundant number, since it is smaller than the sum of its proper divisors (191623741998).

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

142341501978 is a wasteful number, since it uses less digits than its factorization.

142341501978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3360959 (or 3360956 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 142341501978 in words is "one hundred forty-two billion, three hundred forty-one million, five hundred one thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 181 234 362 543 1086 1629 2353 3258 4706 7059 14118 21177 42354 3360757 6721514 10082271 20164542 30246813 43689841 60493626 87379682 131069523 262139046 393208569 608297017 786417138 1216594034 1824891051 3649782102 5474673153 7907861221 10949346306 15815722442 23723583663 47447167326 71170750989 142341501978