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141461540 = 225114713681
BaseRepresentation
bin10000110111010…
…00100000100100
3100212011222202022
420123220200210
5242203232130
622012002312
73335255213
oct1033504044
9325158668
10141461540
1172940170
123b460398
13233cc66c
1414b0507a
15c6447e5
hex86e8824

141461540 has 48 divisors (see below), whose sum is σ = 330994944. Its totient is φ = 50342400.

The previous prime is 141461513. The next prime is 141461561. The reversal of 141461540 is 45164141.

It is a super-2 number, since 2×1414615402 = 40022734598343200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3500 + ... + 17180.

It is an arithmetic number, because the mean of its divisors is an integer number (6895728).

Almost surely, 2141461540 is an apocalyptic number.

141461540 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 141461540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165497472).

141461540 is an abundant number, since it is smaller than the sum of its proper divisors (189533404).

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

141461540 is a wasteful number, since it uses less digits than its factorization.

141461540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13748 (or 13746 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 141461540 is about 11893.7605491283. The cubic root of 141461540 is about 521.0500723682.

The spelling of 141461540 in words is "one hundred forty-one million, four hundred sixty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2068 2585 5170 10340 13681 27362 54724 68405 136810 150491 273620 300982 601964 643007 752455 1286014 1504910 2572028 3009820 3215035 6430070 7073077 12860140 14146154 28292308 35365385 70730770 141461540