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141034752 = 2832411493
BaseRepresentation
bin10000110100000…
…00010100000000
3100211101022022100
420122000110000
5242101103002
621554510400
73331530015
oct1032002400
9324338270
10141034752
1172679551
123b295400
13232b0321
1414a3370c
15c5ad11c
hex8680500

141034752 has 108 divisors (see below), whose sum is σ = 416834964. Its totient is φ = 45834240.

The previous prime is 141034727. The next prime is 141034763. The reversal of 141034752 is 257430141.

It can be written as a sum of positive squares in 2 ways, for example, as 60466176 + 80568576 = 7776^2 + 8976^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93718 + ... + 95210.

It is an arithmetic number, because the mean of its divisors is an integer number (3859583).

Almost surely, 2141034752 is an apocalyptic number.

141034752 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 141034752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208417482).

141034752 is an abundant number, since it is smaller than the sum of its proper divisors (275800212).

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

141034752 is a wasteful number, since it uses less digits than its factorization.

141034752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 141034752 is about 11875.8053200615. The cubic root of 141034752 is about 520.5255436254.

Adding to 141034752 its reverse (257430141), we get a palindrome (398464893).

The spelling of 141034752 in words is "one hundred forty-one million, thirty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 288 328 369 384 492 576 656 738 768 984 1152 1312 1476 1493 1968 2304 2624 2952 2986 3936 4479 5248 5904 5972 7872 8958 10496 11808 11944 13437 15744 17916 23616 23888 26874 31488 35832 47232 47776 53748 61213 71664 94464 95552 107496 122426 143328 183639 191104 214992 244852 286656 367278 382208 429984 489704 550917 573312 734556 859968 979408 1101834 1146624 1469112 1719936 1958816 2203668 2938224 3439872 3917632 4407336 5876448 7835264 8814672 11752896 15670528 17629344 23505792 35258688 47011584 70517376 141034752