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1352134243040 = 25571963540143
BaseRepresentation
bin10011101011010001011…
…110110011001011100000
311210021002120010101220112
4103223101132303023200
5134123132331234130
62513054545230452
7166455101301140
oct23532136631340
94707076111815
101352134243040
11481489591669
1219a077032428
139a676084369
144962d51a920
152528ad48495
hex13ad17b32e0

1352134243040 has 96 divisors (see below), whose sum is σ = 3842907909120. Its totient is φ = 439189461504.

The previous prime is 1352134243039. The next prime is 1352134243049. The reversal of 1352134243040 is 403424312531.

It is a super-2 number, since 2×13521342430402 (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 junction number, because it is equal to n+sod(n) for n = 1352134242988 and 1352134243006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352134243049) 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, 31748792 + ... + 31791351.

It is an arithmetic number, because the mean of its divisors is an integer number (40030290720).

Almost surely, 21352134243040 is an apocalyptic number.

1352134243040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1352134243040 is an abundant number, since it is smaller than the sum of its proper divisors (2490773666080).

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

1352134243040 is a wasteful number, since it uses less digits than its factorization.

1352134243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63540184 (or 63540176 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 1352134243040 its reverse (403424312531), we get a palindrome (1755558555571).

The spelling of 1352134243040 in words is "one trillion, three hundred fifty-two billion, one hundred thirty-four million, two hundred forty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 70 76 80 95 112 133 140 152 160 190 224 266 280 304 380 532 560 608 665 760 1064 1120 1330 1520 2128 2660 3040 4256 5320 10640 21280 63540143 127080286 254160572 317700715 444781001 508321144 635401430 889562002 1016642288 1207262717 1270802860 1779124004 2033284576 2223905005 2414525434 2541605720 3558248008 4447810010 4829050868 5083211440 6036313585 7116496016 8450839019 8895620020 9658101736 10166422880 12072627170 14232992032 16901678038 17791240040 19316203472 24145254340 33803356076 35582480080 38632406944 42254195095 48290508680 67606712152 71164960160 84508390190 96581017360 135213424304 169016780380 193162034720 270426848608 338033560760 676067121520 1352134243040