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141044832 = 253223107199
BaseRepresentation
bin10000110100000…
…10110001100000
3100211101211010200
420122002301200
5242101413312
621555025200
73331601265
oct1032026140
9324354120
10141044832
1172686085
123b29b200
13232b4aa6
1414a3726c
15c5b10dc
hex8682c60

141044832 has 144 divisors (see below), whose sum is σ = 424569600. Its totient is φ = 44326656.

The previous prime is 141044821. The next prime is 141044843. The reversal of 141044832 is 238440141.

It is an interprime number because it is at equal distance from previous prime (141044821) and next prime (141044843).

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 141044796 and 141044805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 708669 + ... + 708867.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2141044832 is an apocalyptic number.

141044832 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 141044832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

141044832 is an abundant number, since it is smaller than the sum of its proper divisors (283524768).

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

141044832 is a wasteful number, since it uses less digits than its factorization.

141044832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 141044832 is about 11876.2297047506. The cubic root of 141044832 is about 520.5379442865.

Adding to 141044832 its reverse (238440141), we get a palindrome (379484973).

The spelling of 141044832 in words is "one hundred forty-one million, forty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 107 138 144 184 199 207 214 276 288 321 368 398 414 428 552 597 642 736 796 828 856 963 1104 1194 1284 1592 1656 1712 1791 1926 2208 2388 2461 2568 3184 3312 3424 3582 3852 4577 4776 4922 5136 6368 6624 7164 7383 7704 9154 9552 9844 10272 13731 14328 14766 15408 18308 19104 19688 21293 22149 27462 28656 29532 30816 36616 39376 41193 42586 44298 54924 57312 59064 63879 73232 78752 82386 85172 88596 109848 118128 127758 146464 164772 170344 177192 191637 219696 236256 255516 329544 340688 354384 383274 439392 489739 511032 659088 681376 708768 766548 979478 1022064 1318176 1469217 1533096 1958956 2044128 2938434 3066192 3917912 4407651 5876868 6132384 7835824 8815302 11753736 15671648 17630604 23507472 35261208 47014944 70522416 141044832