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141480460 = 2251121719181
BaseRepresentation
bin10000110111011…
…01001000001100
3100212012221201001
420123231020030
5242204333320
622012230044
73335364322
oct1033551014
9325187631
10141480460
1172953400
123b46b324
1323408164
1414b0bd12
15c64a20a
hex86ed20c

141480460 has 144 divisors (see below), whose sum is σ = 365994720. Its totient is φ = 45619200.

The previous prime is 141480457. The next prime is 141480461. The reversal of 141480460 is 64084141.

141480460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (141480461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 781570 + ... + 781750.

It is an arithmetic number, because the mean of its divisors is an integer number (2541630).

Almost surely, 2141480460 is an apocalyptic number.

141480460 is a gapful number since it is divisible by the number (10) 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 141480460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182997360).

141480460 is an abundant number, since it is smaller than the sum of its proper divisors (224514260).

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

141480460 is a wasteful number, since it uses less digits than its factorization.

141480460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 141480460 is about 11894.5558975525. Note that the first 3 decimals coincide. The cubic root of 141480460 is about 521.0733008911.

The spelling of 141480460 in words is "one hundred forty-one million, four hundred eighty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 17 19 20 22 34 38 44 55 68 76 85 95 110 121 170 181 187 190 209 220 242 323 340 362 374 380 418 484 605 646 724 748 836 905 935 1045 1210 1292 1615 1810 1870 1991 2057 2090 2299 2420 3077 3230 3439 3553 3620 3740 3982 4114 4180 4598 6154 6460 6878 7106 7964 8228 9196 9955 10285 11495 12308 13756 14212 15385 17195 17765 19910 20570 21901 22990 30770 33847 34390 35530 37829 39083 39820 41140 43802 45980 58463 61540 67694 68780 71060 75658 78166 87604 109505 116926 135388 151316 156332 169235 189145 195415 219010 233852 292315 338470 372317 378290 390830 416119 438020 584630 643093 676940 744634 756580 781660 832238 1169260 1286186 1489268 1664476 1861585 2080595 2572372 3215465 3723170 4161190 6430930 7074023 7446340 8322380 12861860 14148046 28296092 35370115 70740230 141480460