Search a number
-
+
142065949433400 = 233252186871422353
BaseRepresentation
bin100000010011010101001110…
…011100110101111000111000
3200122000101001021120201122200
4200103111032130311320320
5122110102031023332100
61222052110213150200
741631632443522536
oct4023251634657070
9618011037521580
10142065949433400
11412a29158924a3
1213b253bb02b360
1361369b9174735
142712058839156
1511656dc1b6e00
hex81354e735e38

142065949433400 has 144 divisors (see below), whose sum is σ = 477108496278960. Its totient is φ = 37883960755200.

The previous prime is 142065949433347. The next prime is 142065949433411. The reversal of 142065949433400 is 4334949560241.

It is a happy number.

142065949433400 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 6 + 594 + 9 + 4 + 3 + 3 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 336156624 + ... + 336578976.

Almost surely, 2142065949433400 is an apocalyptic number.

142065949433400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142065949433400 is an abundant number, since it is smaller than the sum of its proper divisors (335042546845560).

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

142065949433400 is a wasteful number, since it uses less digits than its factorization.

142065949433400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609246 (or 609234 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 142065949433400 in words is "one hundred forty-two trillion, sixty-five billion, nine hundred forty-nine million, four hundred thirty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 186871 373742 422353 560613 747484 844706 934355 1121226 1267059 1494968 1681839 1689412 1868710 2111765 2242452 2534118 2803065 3363678 3378824 3737420 3801177 4223530 4484904 4671775 5068236 5606130 6335295 6727356 7474840 7602354 8409195 8447060 9343550 10136472 10558825 11212260 12670590 13454712 14015325 15204708 16818390 16894120 18687100 19005885 21117650 22424520 25341180 28030650 30409416 31676475 33636780 37374200 38011770 42045975 42235300 50682360 56061300 63352950 67273560 76023540 84091950 84470600 95029425 112122600 126705900 152047080 168183900 190058850 253411800 336367800 380117700 760235400 78925527463 157851054926 236776582389 315702109852 394627637315 473553164778 631404219704 710329747167 789255274630 947106329556 1183882911945 1420659494334 1578510549260 1894212659112 1973138186575 2367765823890 2841318988668 3157021098520 3551648735835 3946276373150 4735531647780 5682637977336 5919414559725 7103297471670 7892552746300 9471063295560 11838829119450 14206594943340 15785105492600 17758243679175 23677658238900 28413189886680 35516487358350 47355316477800 71032974716700 142065949433400