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141442440 = 23351279281
BaseRepresentation
bin10000110111000…
…11110110001000
3100212011000112220
420123203312020
5242202124230
622011334040
73335145426
oct1033436610
9325130486
10141442440
1172927887
123b451320
13233c3a69
1414adc116
15c63dd10
hex86e3d88

141442440 has 64 divisors (see below), whose sum is σ = 427714560. Its totient is φ = 37416960.

The previous prime is 141442423. The next prime is 141442451. The reversal of 141442440 is 44244141.

It is a happy number.

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 141442440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10600 + ... + 19880.

It is an arithmetic number, because the mean of its divisors is an integer number (6683040).

Almost surely, 2141442440 is an apocalyptic number.

141442440 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 141442440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213857280).

141442440 is an abundant number, since it is smaller than the sum of its proper divisors (286272120).

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

141442440 is a wasteful number, since it uses less digits than its factorization.

141442440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9422 (or 9418 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 141442440 is about 11892.9575800135. The cubic root of 141442440 is about 521.0266207541.

Adding to 141442440 its reverse (44244141), we get a palindrome (185686581).

The spelling of 141442440 in words is "one hundred forty-one million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 3048 3810 5080 7620 9281 15240 18562 27843 37124 46405 55686 74248 92810 111372 139215 185620 222744 278430 371240 556860 1113720 1178687 2357374 3536061 4714748 5893435 7072122 9429496 11786870 14144244 17680305 23573740 28288488 35360610 47147480 70721220 141442440