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141142752 = 25323115809
BaseRepresentation
bin10000110100110…
…10101011100000
3100211120210110100
420122122223200
5242113032002
622001102400
73332456622
oct1032325340
9324523410
10141142752
1172742703
123b327a00
132331a52a
1414a60c12
15c5d011c
hex869aae0

141142752 has 72 divisors (see below), whose sum is σ = 414348480. Its totient is φ = 45527040.

The previous prime is 141142751. The next prime is 141142759. The reversal of 141142752 is 257241141.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141142751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1024 + ... + 16832.

It is an arithmetic number, because the mean of its divisors is an integer number (5754840).

Almost surely, 2141142752 is an apocalyptic number.

141142752 is a gapful number since it is divisible by the number (12) 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 141142752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207174240).

141142752 is an abundant number, since it is smaller than the sum of its proper divisors (273205728).

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

141142752 is a wasteful number, since it uses less digits than its factorization.

141142752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15856 (or 15845 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 141142752 is about 11880.3515099512. The cubic root of 141142752 is about 520.6583771158.

Adding to 141142752 its reverse (257241141), we get a palindrome (398383893).

The spelling of 141142752 in words is "one hundred forty-one million, one hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 15809 31618 47427 63236 94854 126472 142281 189708 252944 284562 379416 490079 505888 569124 758832 980158 1138248 1470237 1517664 1960316 2276496 2940474 3920632 4410711 4552992 5880948 7841264 8821422 11761896 15682528 17642844 23523792 35285688 47047584 70571376 141142752