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1342232242000 = 24531382962273
BaseRepresentation
bin10011100010000011010…
…001101010011101010000
311202022112110202122002021
4103202003101222131100
5133442342423221000
62504340223101224
7165654523545346
oct23420321523520
94668473678067
101342232242000
11478268121731
12198172a41814
1399758789950
1448d703c7996
1524dab89711a
hex1388346a750

1342232242000 has 160 divisors (see below), whose sum is σ = 3499445083680. Its totient is φ = 494987673600.

The previous prime is 1342232241991. The next prime is 1342232242111. The reversal of 1342232242000 is 2422322431.

It can be written as a sum of positive squares in 16 ways, for example, as 1190839657536 + 151392584464 = 1091256^2 + 389092^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21522864 + ... + 21585136.

It is an arithmetic number, because the mean of its divisors is an integer number (21871531773).

Almost surely, 21342232242000 is an apocalyptic number.

1342232242000 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 1342232242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749722541840).

1342232242000 is an abundant number, since it is smaller than the sum of its proper divisors (2157212841680).

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

1342232242000 is a wasteful number, since it uses less digits than its factorization.

1342232242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63138 (or 63122 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 1342232242000 its reverse (2422322431), we get a palindrome (1344654564431).

The spelling of 1342232242000 in words is "one trillion, three hundred forty-two billion, two hundred thirty-two million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 829 1000 1040 1300 1625 1658 2000 2600 3250 3316 4145 5200 6500 6632 8290 10777 13000 13264 16580 20725 21554 26000 33160 41450 43108 53885 62273 66320 82900 86216 103625 107770 124546 165800 172432 207250 215540 249092 269425 311365 331600 414500 431080 498184 538850 622730 809549 829000 862160 996368 1077700 1245460 1347125 1556825 1619098 1658000 2155400 2490920 2694250 3113650 3238196 4047745 4310800 4981840 5388500 6227300 6476392 7784125 8095490 10777000 12454600 12952784 15568250 16190980 20238725 21554000 24909200 31136500 32381960 40477450 51624317 62273000 64763920 80954900 101193625 103248634 124546000 161909800 202387250 206497268 258121585 323819600 404774500 412994536 516243170 671116121 809549000 825989072 1032486340 1290607925 1342232242 1619098000 2064972680 2581215850 2684464484 3355580605 4129945360 5162431700 5368928968 6453039625 6711161210 10324863400 10737857936 12906079250 13422322420 16777903025 20649726800 25812158500 26844644840 33555806050 51624317000 53689289680 67111612100 83889515125 103248634000 134223224200 167779030250 268446448400 335558060500 671116121000 1342232242000