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142023132002040 = 233516631801395159
BaseRepresentation
bin100000010010101101010110…
…010101010011011011111000
3200121212021112021000211220120
4200102231112111103123320
5122103401333243031130
61222020305351053240
741625555415413252
oct4022552625233370
9617767467024816
10142023132002040
1141286743530593
1213b1904b671220
1361329544a0a33
14270dd55dcacd2
1511645331a0910
hex812b565536f8

142023132002040 has 128 divisors (see below), whose sum is σ = 426563396812800. Its totient is φ = 37828949529600.

The previous prime is 142023132002021. The next prime is 142023132002183. The reversal of 142023132002040 is 40200231320241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 142023132002040.

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 31 ways as a sum of consecutive naturals, for example, 359209981 + ... + 359605139.

It is an arithmetic number, because the mean of its divisors is an integer number (3332526537600).

Almost surely, 2142023132002040 is an apocalyptic number.

142023132002040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142023132002040 is an abundant number, since it is smaller than the sum of its proper divisors (284540264810760).

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

142023132002040 is a wasteful number, since it uses less digits than its factorization.

142023132002040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398637 (or 398633 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 142023132002040 its reverse (40200231320241), we get a palindrome (182223363322281).

The spelling of 142023132002040 in words is "one hundred forty-two trillion, twenty-three billion, one hundred thirty-two million, two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1663 1801 3326 3602 4989 5403 6652 7204 8315 9005 9978 10806 13304 14408 16630 18010 19956 21612 24945 27015 33260 36020 39912 43224 49890 54030 66520 72040 99780 108060 199560 216120 395159 790318 1185477 1580636 1975795 2370954 2995063 3161272 3951590 4741908 5927385 5990126 7903180 8985189 9483816 11854770 11980252 14975315 15806360 17970378 23709540 23960504 29950630 35940756 44925945 47419080 59901260 71881512 89851890 119802520 179703780 359407560 657149417 711681359 1314298834 1423362718 1971448251 2135044077 2628597668 2846725436 3285747085 3558406795 3942896502 4270088154 5257195336 5693450872 6571494170 7116813590 7885793004 8540176308 9857241255 10675220385 13142988340 14233627180 15771586008 17080352616 19714482510 21350440770 26285976680 28467254360 39428965020 42700881540 78857930040 85401763080 1183526100017 2367052200034 3550578300051 4734104400068 5917630500085 7101156600102 9468208800136 11835261000170 14202313200204 17752891500255 23670522000340 28404626400408 35505783000510 47341044000680 71011566001020 142023132002040