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142315440 = 2435619721
BaseRepresentation
bin10000111101110…
…00111110110000
3100220210101002020
420132320332300
5242413043230
622042151440
73345442551
oct1036707660
9326711066
10142315440
1173373773
123b7b2580
132363b227
1414c88328
15c762810
hex87b8fb0

142315440 has 80 divisors (see below), whose sum is σ = 448456416. Its totient is φ = 37324800.

The previous prime is 142315417. The next prime is 142315487. The reversal of 142315440 is 44513241.

142315440 = T355 + T356 + ... + T964.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 142315440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9780 + ... + 19500.

Almost surely, 2142315440 is an apocalyptic number.

142315440 is a gapful number since it is divisible by the number (10) 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 142315440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224228208).

142315440 is an abundant number, since it is smaller than the sum of its proper divisors (306140976).

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

142315440 is a wasteful number, since it uses less digits than its factorization.

142315440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9798 (or 9792 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 142315440 is about 11929.6035139480. The cubic root of 142315440 is about 522.0963695184.

Adding to 142315440 its reverse (44513241), we get a palindrome (186828681).

The spelling of 142315440 in words is "one hundred forty-two million, three hundred fifteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2928 3660 4880 7320 9721 14640 19442 29163 38884 48605 58326 77768 97210 116652 145815 155536 194420 233304 291630 388840 466608 583260 592981 777680 1166520 1185962 1778943 2333040 2371924 2964905 3557886 4743848 5929810 7115772 8894715 9487696 11859620 14231544 17789430 23719240 28463088 35578860 47438480 71157720 142315440