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141037056 = 2932127241
BaseRepresentation
bin10000110100000…
…00111000000000
3100211101102110200
420122000320000
5242101141211
621554525200
73331536516
oct1032007000
9324342420
10141037056
1172680256
123b296800
13232b13a4
1414a344b6
15c5adb56
hex8680e00

141037056 has 120 divisors (see below), whose sum is σ = 411949824. Its totient is φ = 46448640.

The previous prime is 141037051. The next prime is 141037067. The reversal of 141037056 is 650730141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141037051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 585096 + ... + 585336.

Almost surely, 2141037056 is an apocalyptic number.

141037056 is a gapful number since it is divisible by the number (16) 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 141037056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205974912).

141037056 is an abundant number, since it is smaller than the sum of its proper divisors (270912768).

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

141037056 is a wasteful number, since it uses less digits than its factorization.

141037056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 141037056 is about 11875.9023236131. The cubic root of 141037056 is about 520.5283781143.

Adding to 141037056 its reverse (650730141), we get a palindrome (791767197).

The spelling of 141037056 in words is "one hundred forty-one million, thirty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 241 254 256 288 381 384 482 508 512 576 723 762 768 964 1016 1143 1152 1446 1524 1536 1928 2032 2169 2286 2304 2892 3048 3856 4064 4338 4572 4608 5784 6096 7712 8128 8676 9144 11568 12192 15424 16256 17352 18288 23136 24384 30607 30848 32512 34704 36576 46272 48768 61214 61696 65024 69408 73152 91821 92544 97536 122428 123392 138816 146304 183642 185088 195072 244856 275463 277632 292608 367284 370176 489712 550926 555264 585216 734568 979424 1101852 1110528 1469136 1958848 2203704 2938272 3917696 4407408 5876544 7835392 8814816 11753088 15670784 17629632 23506176 35259264 47012352 70518528 141037056