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141034440 = 23356119267
BaseRepresentation
bin10000110100000…
…00001111001000
3100211101021212210
420122000033020
5242101100230
621554505120
73331526061
oct1032001710
9324337783
10141034440
1172679298
123b2951a0
13232b0141
1414a33568
15c5aceb0
hex86803c8

141034440 has 64 divisors (see below), whose sum is σ = 430061760. Its totient is φ = 36990720.

The previous prime is 141034433. The next prime is 141034441. The reversal of 141034440 is 44430141.

It is a super-2 number, since 2×1410344402 = 39781426532227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (141034441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2314 + ... + 16953.

It is an arithmetic number, because the mean of its divisors is an integer number (6719715).

Almost surely, 2141034440 is an apocalyptic number.

141034440 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 141034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215030880).

141034440 is an abundant number, since it is smaller than the sum of its proper divisors (289027320).

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

141034440 is a wasteful number, since it uses less digits than its factorization.

141034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19342 (or 19338 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 141034440 is about 11875.7921841029. The cubic root of 141034440 is about 520.5251597860.

Adding to 141034440 its reverse (44430141), we get a palindrome (185464581).

The spelling of 141034440 in words is "one hundred forty-one million, thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1220 1464 1830 2440 3660 7320 19267 38534 57801 77068 96335 115602 154136 192670 231204 289005 385340 462408 578010 770680 1156020 1175287 2312040 2350574 3525861 4701148 5876435 7051722 9402296 11752870 14103444 17629305 23505740 28206888 35258610 47011480 70517220 141034440