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1342213415552 = 272324110611783
BaseRepresentation
bin10011100010000010001…
…001110110001010000000
311202022111011100011001102
4103202002021312022000
5133442323113244202
62504334311353532
7165654204534632
oct23420211661200
94668434304042
101342213415552
11478258533089
121981686828a8
13997548c7739
1448d6bac6a52
1524da9dc8d02
hex13882276280

1342213415552 has 128 divisors (see below), whose sum is σ = 2805990232320. Its totient is φ = 638303846400.

The previous prime is 1342213415539. The next prime is 1342213415611. The reversal of 1342213415552 is 2555143122431.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 752782853 + ... + 752784635.

It is an arithmetic number, because the mean of its divisors is an integer number (21921798690).

Almost surely, 21342213415552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342213415552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402995116160).

1342213415552 is an abundant number, since it is smaller than the sum of its proper divisors (1463776816768).

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

1342213415552 is a wasteful number, since it uses less digits than its factorization.

1342213415552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122 (or 3110 counting only the distinct ones).

The product of its digits is 144000, while the sum is 38.

Adding to 1342213415552 its reverse (2555143122431), we get a palindrome (3897356537983).

The spelling of 1342213415552 in words is "one trillion, three hundred forty-two billion, two hundred thirteen million, four hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 241 368 482 736 964 1061 1472 1783 1928 2122 2944 3566 3856 4244 5543 7132 7712 8488 11086 14264 15424 16976 22172 24403 28528 30848 33952 41009 44344 48806 57056 67904 82018 88688 97612 114112 135808 164036 177376 195224 228224 255701 328072 354752 390448 429703 511402 656144 709504 780896 859406 1022804 1312288 1561792 1718812 1891763 2045608 2624576 3123584 3437624 3783526 4091216 5249152 5881123 6875248 7567052 8182432 9883169 11762246 13750496 15134104 16364864 19766338 23524492 27500992 30268208 32729728 39532676 43510549 47048984 55001984 60536416 79065352 87021098 94097968 121072832 158130704 174042196 188195936 242145664 316261408 348084392 376391872 455914883 632522816 696168784 752783744 911829766 1265045632 1392337568 1823659532 2784675136 3647319064 5569350272 7294638128 10486042309 14589276256 20972084618 29178552512 41944169236 58357105024 83888338472 167776676944 335553353888 671106707776 1342213415552