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142333243441020 = 2232523207191659347
BaseRepresentation
bin100000010111001110001010…
…011010100011111101111100
3200122221220222110102012022200
4200113032022122203331330
5122123441440310103040
61222414553411311500
741660144313224562
oct4027161232437574
9618856873365280
10142333243441020
114139620a336625
1213b691772ab590
136155c76107118
142720d73dbda32
15116c6333d1630
hex81738a6a3f7c

142333243441020 has 144 divisors (see below), whose sum is σ = 450537673098240. Its totient is φ = 36303516931968.

The previous prime is 142333243441009. The next prime is 142333243441027. The reversal of 142333243441020 is 20144342333241.

142333243441020 is a `hidden beast` number, since 1 + 4 + 233 + 3 + 2 + 4 + 3 + 4 + 410 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142333243441027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84946987 + ... + 86606333.

It is an arithmetic number, because the mean of its divisors is an integer number (3128733840960).

Almost surely, 2142333243441020 is an apocalyptic number.

142333243441020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142333243441020 is an abundant number, since it is smaller than the sum of its proper divisors (308204429657220).

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

142333243441020 is a wasteful number, since it uses less digits than its factorization.

142333243441020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680104 (or 1680099 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 142333243441020 its reverse (20144342333241), we get a palindrome (162477585774261).

The spelling of 142333243441020 in words is "one hundred forty-two trillion, three hundred thirty-three billion, two hundred forty-three million, four hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 20719 41438 62157 82876 103595 124314 186471 207190 248628 310785 372942 414380 476537 621570 745884 932355 953074 1243140 1429611 1659347 1864710 1906148 2382685 2859222 3318694 3729420 4288833 4765370 4978041 5718444 6637388 7148055 8296735 8577666 9530740 9956082 14296110 14934123 16593470 17155332 19912164 21444165 24890205 28592220 29868246 33186940 38164981 42888330 49780410 59736492 74670615 76329962 85776660 99560820 114494943 149341230 152659924 190824905 228989886 298682460 343484829 381649810 457979772 572474715 686969658 763299620 1144949430 1373939316 1717424145 2289898860 3434848290 6869696580 34380010493 68760020986 103140031479 137520041972 171900052465 206280062958 309420094437 343800104930 412560125916 515700157395 618840188874 687600209860 790740241339 1031400314790 1237680377748 1547100472185 1581480482678 2062800629580 2372220724017 3094200944370 3162960965356 3953701206695 4744441448034 6188401888740 7116662172051 7907402413390 9488882896068 11861103620085 14233324344102 15814804826780 23722207240170 28466648688204 35583310860255 47444414480340 71166621720510 142333243441020