Search a number
-
+
141050532240 = 243251201163117
BaseRepresentation
bin1000001101011101000…
…1000101000110010000
3111111002001110110001200
42003113101011012100
54302332414012430
6144444150231200
713122235512342
oct2032721050620
9444061413050
10141050532240
1154901391602
1223405655500
13103bb4128c7
146b80d71292
153a08085460
hex20d7445190

141050532240 has 120 divisors (see below), whose sum is σ = 474092027448. Its totient is φ = 37581926400.

The previous prime is 141050532209. The next prime is 141050532257. The reversal of 141050532240 is 42235050141.

141050532240 is a `hidden beast` number, since 1 + 4 + 105 + 0 + 532 + 24 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2214144 + 141048318096 = 1488^2 + 375564^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783162 + ... + 946278.

Almost surely, 2141050532240 is an apocalyptic number.

141050532240 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 141050532240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237046013724).

141050532240 is an abundant number, since it is smaller than the sum of its proper divisors (333041495208).

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

141050532240 is a wasteful number, since it uses less digits than its factorization.

141050532240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164337 (or 164328 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 141050532240 its reverse (42235050141), we get a palindrome (183285582381).

The spelling of 141050532240 in words is "one hundred forty-one billion, fifty million, five hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1201 2402 3603 4804 6005 7206 9608 10809 12010 14412 18015 19216 21618 24020 28824 36030 43236 48040 54045 57648 72060 86472 96080 108090 144120 163117 172944 216180 288240 326234 432360 489351 652468 815585 864720 978702 1304936 1468053 1631170 1957404 2446755 2609872 2936106 3262340 3914808 4893510 5872212 6524680 7340265 7829616 9787020 11744424 13049360 14680530 19574040 23488848 29361060 39148080 58722120 117444240 195903517 391807034 587710551 783614068 979517585 1175421102 1567228136 1763131653 1959035170 2350842204 2938552755 3134456272 3526263306 3918070340 4701684408 5877105510 7052526612 7836140680 8815658265 9403368816 11754211020 14105053224 15672281360 17631316530 23508422040 28210106448 35262633060 47016844080 70525266120 141050532240