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141133245440 = 2105112505917
BaseRepresentation
bin1000001101110000110…
…0100110110000000000
3111111021211002201020112
42003130030212300000
54303020102323230
6144500303130452
713124261535605
oct2033414466000
9444254081215
10141133245440
1154944046220
12234292a3a28
13104025b2c25
146b8bd426ac
153a10472d95
hex20dc326c00

141133245440 has 88 divisors (see below), whose sum is σ = 369332218512. Its totient is φ = 51321159680.

The previous prime is 141133245437. The next prime is 141133245497. The reversal of 141133245440 is 44542331141.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 141133245397 and 141133245406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1196639 + ... + 1309278.

Almost surely, 2141133245440 is an apocalyptic number.

141133245440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141133245440 is an abundant number, since it is smaller than the sum of its proper divisors (228198973072).

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

141133245440 is a wasteful number, since it uses less digits than its factorization.

141133245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505953 (or 2505935 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 141133245440 its reverse (44542331141), we get a palindrome (185675576581).

The spelling of 141133245440 in words is "one hundred forty-one billion, one hundred thirty-three million, two hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2560 2816 3520 5120 5632 7040 11264 14080 28160 56320 2505917 5011834 10023668 12529585 20047336 25059170 27565087 40094672 50118340 55130174 80189344 100236680 110260348 137825435 160378688 200473360 220520696 275650870 320757376 400946720 441041392 551301740 641514752 801893440 882082784 1102603480 1283029504 1603786880 1764165568 2205206960 2566059008 3207573760 3528331136 4410413920 6415147520 7056662272 8820827840 12830295040 14113324544 17641655680 28226649088 35283311360 70566622720 141133245440