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142442064 = 2434131839
BaseRepresentation
bin10000111110101…
…11111001010000
3100221000210210000
420133113321100
5242431121224
622045010000
73346510662
oct1037277120
9327023700
10142442064
117344a916
123b853900
1323683a5b
1414cbc532
15c78a0c9
hex87d7e50

142442064 has 100 divisors (see below), whose sum is σ = 415910880. Its totient is φ = 47062080.

The previous prime is 142442029. The next prime is 142442071. The reversal of 142442064 is 460244241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 169357 + ... + 170195.

Almost surely, 2142442064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142442064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207955440).

142442064 is an abundant number, since it is smaller than the sum of its proper divisors (273468816).

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

142442064 is a wasteful number, since it uses less digits than its factorization.

142442064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 142442064 is about 11934.9094676080. The cubic root of 142442064 is about 522.2511672772.

The spelling of 142442064 in words is "one hundred forty-two million, four hundred forty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 131 144 162 216 262 324 393 432 524 648 786 839 1048 1179 1296 1572 1678 2096 2358 2517 3144 3356 3537 4716 5034 6288 6712 7074 7551 9432 10068 10611 13424 14148 15102 18864 20136 21222 22653 28296 30204 40272 42444 45306 56592 60408 67959 84888 90612 109909 120816 135918 169776 181224 219818 271836 329727 362448 439636 543672 659454 879272 989181 1087344 1318908 1758544 1978362 2637816 2967543 3956724 5275632 5935086 7913448 8902629 11870172 15826896 17805258 23740344 35610516 47480688 71221032 142442064