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142432355434440 = 233512784471106423
BaseRepresentation
bin100000011000101010011101…
…111100110011111111001000
3200200022101210202010010112210
4200120222131330303333020
5122132102430442400230
61222532304253305120
742000253355245611
oct4030523574637710
9620271722103483
10142432355434440
114142424a491195
1213b844177951a0
13616240c95c186
142725a97126c08
15116eed46aceb0
hex818a9df33fc8

142432355434440 has 128 divisors (see below), whose sum is σ = 430712983388160. Its totient is φ = 37678395734784.

The previous prime is 142432355434403. The next prime is 142432355434493. The reversal of 142432355434440 is 44434553234241.

It is a super-2 number, since 2×1424323554344402 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 142432355434440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128179069 + ... + 129285491.

It is an arithmetic number, because the mean of its divisors is an integer number (3364945182720).

Almost surely, 2142432355434440 is an apocalyptic number.

142432355434440 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 142432355434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215356491694080).

142432355434440 is an abundant number, since it is smaller than the sum of its proper divisors (288280627953720).

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

142432355434440 is a wasteful number, since it uses less digits than its factorization.

142432355434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115011 (or 1115007 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 48.

The spelling of 142432355434440 in words is "one hundred forty-two trillion, four hundred thirty-two billion, three hundred fifty-five million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 3048 3810 5080 7620 8447 15240 16894 25341 33788 42235 50682 67576 84470 101364 126705 168940 202728 253410 337880 506820 1013640 1072769 1106423 2145538 2212846 3218307 3319269 4291076 4425692 5363845 5532115 6436614 6638538 8582152 8851384 10727690 11064230 12873228 13277076 16091535 16596345 21455380 22128460 25746456 26554152 32183070 33192690 42910760 44256920 64366140 66385380 128732280 132770760 140515721 281031442 421547163 562062884 702578605 843094326 1124125768 1405157210 1686188652 2107735815 2810314420 3372377304 4215471630 5620628840 8430943260 9345955081 16861886520 18691910162 28037865243 37383820324 46729775405 56075730486 74767640648 93459550810 112151460972 140189326215 186919101620 224302921944 280378652430 373838203240 560757304860 1121514609720 1186936295287 2373872590574 3560808885861 4747745181148 5934681476435 7121617771722 9495490362296 11869362952870 14243235543444 17804044429305 23738725905740 28486471086888 35608088858610 47477451811480 71216177717220 142432355434440