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141297024 = 2731123041
BaseRepresentation
bin10000110110000…
…00010110000000
3100211212122002010
420123000112000
5242133001044
622004252520
73334001451
oct1033002600
9324778063
10141297024
1172838600
123b3a1140
132337280b
1414aa1128
15c610bb9
hex86c0580

141297024 has 96 divisors (see below), whose sum is σ = 412677720. Its totient is φ = 42803200.

The previous prime is 141297001. The next prime is 141297067. The reversal of 141297024 is 420792141.

141297024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 141296982 and 141297000.

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, 44944 + ... + 47984.

Almost surely, 2141297024 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 141297024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206338860).

141297024 is an abundant number, since it is smaller than the sum of its proper divisors (271380696).

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

141297024 is a wasteful number, since it uses less digits than its factorization.

141297024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3080 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 141297024 is about 11886.8424739289. The cubic root of 141297024 is about 520.8480049001.

The spelling of 141297024 in words is "one hundred forty-one million, two hundred ninety-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1056 1408 1452 1936 2112 2904 3041 3872 4224 5808 6082 7744 9123 11616 12164 15488 18246 23232 24328 33451 36492 46464 48656 66902 72984 97312 100353 133804 145968 194624 200706 267608 291936 367961 389248 401412 535216 583872 735922 802824 1070432 1103883 1167744 1471844 1605648 2140864 2207766 2943688 3211296 4281728 4415532 5887376 6422592 8831064 11774752 12845184 17662128 23549504 35324256 47099008 70648512 141297024