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141050468560 = 24514918236491
BaseRepresentation
bin1000001101011101000…
…0110101100011010000
3111111002001100012201011
42003113100311203100
54302332404443220
6144444145020304
713122235125601
oct2032720654320
9444061305634
10141050468560
1154901348781
1223405624694
13103bb3bc921
146b80d55da8
153a0807165a
hex20d74358d0

141050468560 has 80 divisors (see below), whose sum is σ = 330375283200. Its totient is φ = 56002158080.

The previous prime is 141050468509. The next prime is 141050468609. The reversal of 141050468560 is 65864050141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 21726915 + ... + 21733405.

It is an arithmetic number, because the mean of its divisors is an integer number (4129691040).

Almost surely, 2141050468560 is an apocalyptic number.

141050468560 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 141050468560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165187641600).

141050468560 is an abundant number, since it is smaller than the sum of its proper divisors (189324814640).

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

141050468560 is a wasteful number, since it uses less digits than its factorization.

141050468560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8476 (or 8470 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 141050468560 in words is "one hundred forty-one billion, fifty million, four hundred sixty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 298 596 745 1192 1490 1823 2384 2980 3646 5960 6491 7292 9115 11920 12982 14584 18230 25964 29168 32455 36460 51928 64910 72920 103856 129820 145840 259640 271627 519280 543254 967159 1086508 1358135 1934318 2173016 2716270 3868636 4346032 4835795 5432540 7737272 9671590 10865080 11833093 15474544 19343180 21730160 23666186 38686360 47332372 59165465 77372720 94664744 118330930 189329488 236661860 473323720 946647440 1763130857 3526261714 7052523428 8815654285 14105046856 17631308570 28210093712 35262617140 70525234280 141050468560