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1323430142144 = 26114014687961
BaseRepresentation
bin10011010000100010100…
…101010110000011000000
311200112000010021222220112
4103100202211112003000
5133140341104022034
62451550404530452
7164420555412605
oct23204245260300
94615003258815
101323430142144
114702998a4830
121945a60b0a28
1397a5031c786
14480a92466ac
152465ad9e7ce
hex134229560c0

1323430142144 has 56 divisors (see below), whose sum is σ = 2872070543376. Its totient is φ = 600058880000.

The previous prime is 1323430142137. The next prime is 1323430142183. The reversal of 1323430142144 is 4412410343231.

It is a super-2 number, since 2×13234301421442 (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1323430142144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2061677 + ... + 2626284.

Almost surely, 21323430142144 is an apocalyptic number.

It is an amenable number.

1323430142144 is an abundant number, since it is smaller than the sum of its proper divisors (1548640401232).

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

1323430142144 is a wasteful number, since it uses less digits than its factorization.

1323430142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4688385 (or 4688375 counting only the distinct ones).

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

Adding to 1323430142144 its reverse (4412410343231), we get a palindrome (5735840485375).

The spelling of 1323430142144 in words is "one trillion, three hundred twenty-three billion, four hundred thirty million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 401 704 802 1604 3208 4411 6416 8822 12832 17644 25664 35288 70576 141152 282304 4687961 9375922 18751844 37503688 51567571 75007376 103135142 150014752 206270284 300029504 412540568 825081136 1650162272 1879872361 3300324544 3759744722 7519489444 15038978888 20678595971 30077957776 41357191942 60155915552 82714383884 120311831104 165428767768 330857535536 661715071072 1323430142144