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141132112342320 = 24351153459133463
BaseRepresentation
bin100000000101101111100001…
…011011000010110100110000
3200111201002122120100022121210
4200011233201123002310300
5121444302031224423240
61220055110343320120
741504313211312641
oct4005574133026460
9614632576308553
10141132112342320
1140a7287a124320
12139b4422a50040
1360999163a0658
1426bcb8b57d6c8
15114b28426a780
hex805be16c2d30

141132112342320 has 80 divisors (see below), whose sum is σ = 477283143566592. Its totient is φ = 34213845415680.

The previous prime is 141132112342271. The next prime is 141132112342363. The reversal of 141132112342320 is 23243211231141.

141132112342320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×1411321123423203 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 26729564092 + ... + 26729569371.

Almost surely, 2141132112342320 is an apocalyptic number.

141132112342320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141132112342320 is an abundant number, since it is smaller than the sum of its proper divisors (336151031224272).

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

141132112342320 is a wasteful number, since it uses less digits than its factorization.

141132112342320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53459133490 (or 53459133484 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 141132112342320 its reverse (23243211231141), we get a palindrome (164375323573461).

The spelling of 141132112342320 in words is "one hundred forty-one trillion, one hundred thirty-two billion, one hundred twelve million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 53459133463 106918266926 160377400389 213836533852 267295667315 320754800778 427673067704 534591334630 588050468093 641509601556 801887001945 855346135408 1069182669260 1176100936186 1283019203112 1603774003890 1764151404279 2138365338520 2352201872372 2566038406224 2940252340465 3207548007780 3528302808558 4276730677040 4704403744744 5880504680930 6415096015560 7056605617116 8820757021395 9408807489488 11761009361860 12830192031120 14113211234232 17641514042790 23522018723720 28226422468464 35283028085580 47044037447440 70566056171160 141132112342320