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141045504 = 283434271
BaseRepresentation
bin10000110100000…
…10111100000000
3100211101212001120
420122002330000
5242101424004
621555032240
73331603245
oct1032027400
9324355046
10141045504
1172686636
123b29b680
13232b51a2
1414a375cc
15c5b13d9
hex8682f00

141045504 has 72 divisors (see below), whose sum is σ = 384206592. Its totient is φ = 45911040.

The previous prime is 141045467. The next prime is 141045529. The reversal of 141045504 is 405540141.

It is a happy number.

It is a super-2 number, since 2×1410455042 = 39787668397228032, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30889 + ... + 35159.

Almost surely, 2141045504 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 141045504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192103296).

141045504 is an abundant number, since it is smaller than the sum of its proper divisors (243161088).

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

141045504 is an equidigital number, since it uses as much as digits as its factorization.

141045504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 141045504 is about 11876.2579965240. The cubic root of 141045504 is about 520.5387709762.

Adding to 141045504 its reverse (405540141), we get a palindrome (546585645).

The spelling of 141045504 in words is "one hundred forty-one million, forty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 516 688 768 1032 1376 2064 2752 4128 4271 5504 8256 8542 11008 12813 16512 17084 25626 33024 34168 51252 68336 102504 136672 183653 205008 273344 367306 410016 546688 550959 734612 820032 1093376 1101918 1469224 1640064 2203836 2938448 3280128 4407672 5876896 8815344 11753792 17630688 23507584 35261376 47015168 70522752 141045504