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1342143213440 = 27534941914341
BaseRepresentation
bin10011100001111101111…
…110000010111110000000
311202022022021020111212012
4103201331332002332000
5133442202130312230
62504323322552052
7165652363040021
oct23417576027600
94668267214765
101342143213440
11478221944207
12198149068628
13997431b7c23
1448d62650c48
1524da3b5d395
hex1387df82f80

1342143213440 has 128 divisors (see below), whose sum is σ = 3225659220000. Its totient is φ = 534004162560.

The previous prime is 1342143213343. The next prime is 1342143213449. The reversal of 1342143213440 is 443123412431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1342143213397 and 1342143213406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342143213449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93580670 + ... + 93595010.

Almost surely, 21342143213440 is an apocalyptic number.

1342143213440 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 1342143213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612829610000).

1342143213440 is an abundant number, since it is smaller than the sum of its proper divisors (1883516006560).

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

1342143213440 is a wasteful number, since it uses less digits than its factorization.

1342143213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15128 (or 15116 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 1342143213440 its reverse (443123412431), we get a palindrome (1785266625871).

The spelling of 1342143213440 in words is "one trillion, three hundred forty-two billion, one hundred forty-three million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 349 419 640 698 838 1396 1676 1745 2095 2792 3352 3490 4190 5584 6704 6980 8380 11168 13408 13960 14341 16760 22336 26816 27920 28682 33520 44672 53632 55840 57364 67040 71705 111680 114728 134080 143410 146231 223360 229456 268160 286820 292462 458912 573640 584924 731155 917824 1147280 1169848 1462310 1835648 2294560 2339696 2924620 4589120 4679392 5005009 5849240 6008879 9178240 9358784 10010018 11698480 12017758 18717568 20020036 23396960 24035516 25025045 30044395 40040072 46793920 48071032 50050090 60088790 80080144 93587840 96142064 100100180 120177580 160160288 192284128 200200360 240355160 320320576 384568256 400400720 480710320 640641152 769136512 800801440 961420640 1601602880 1922841280 2097098771 3203205760 3845682560 4194197542 8388395084 10485493855 16776790168 20970987710 33553580336 41941975420 67107160672 83883950840 134214321344 167767901680 268428642688 335535803360 671071606720 1342143213440