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142124331210440 = 235232239288723899
BaseRepresentation
bin100000010100001011100110…
…010001101001011011001000
3200122012221202000012021211012
4200110023212101221123020
5122112031112242213230
61222135003313223052
741636100263452205
oct4024134621513310
9618187660167735
10142124331210440
1141315654881707
1213b34792b61a88
13613c361588537
142714bd6412cac
151166ea781b395
hex8142e64696c8

142124331210440 has 128 divisors (see below), whose sum is σ = 333961850880000. Its totient is φ = 54332617667328.

The previous prime is 142124331210431. The next prime is 142124331210539. The reversal of 142124331210440 is 44012133421241.

It is a junction number, because it is equal to n+sod(n) for n = 142124331210397 and 142124331210406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5946861611 + ... + 5946885509.

It is an arithmetic number, because the mean of its divisors is an integer number (2609076960000).

Almost surely, 2142124331210440 is an apocalyptic number.

142124331210440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142124331210440 is an abundant number, since it is smaller than the sum of its proper divisors (191837519669560).

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

142124331210440 is a wasteful number, since it uses less digits than its factorization.

142124331210440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29059 (or 29055 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 142124331210440 its reverse (44012133421241), we get a palindrome (186136464631681).

The spelling of 142124331210440 in words is "one hundred forty-two trillion, one hundred twenty-four billion, three hundred thirty-one million, two hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 2239 2887 4478 5774 8956 11195 11548 14435 17912 22390 23096 23899 28870 44780 47798 51497 57740 66401 89560 95596 102994 115480 119495 132802 191192 205988 238990 257485 265604 332005 411976 477980 514970 531208 549677 664010 955960 1029940 1099354 1328020 2059880 2198708 2656040 2748385 4397416 5496770 6463993 10993540 12927986 21987080 25855972 32319965 51711944 53509861 64639930 68996413 107019722 129279860 137992826 148671839 214039444 258559720 267549305 275985652 297343678 344982065 428078888 535098610 551971304 594687356 689964130 743359195 1070197220 1189374712 1230726803 1379928260 1486718390 1586917499 2140394440 2461453606 2759856520 2973436780 3173834998 4922907212 5946873560 6153634015 6347669996 7934587495 9845814424 12307268030 12695339992 15869174990 24614536060 31738349980 49229072120 63476699960 154482968707 308965937414 617931874828 772414843535 1235863749656 1544829687070 3089659374140 3553108280261 6179318748280 7106216560522 14212433121044 17765541401305 28424866242088 35531082802610 71062165605220 142124331210440