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1385127684340 = 2251811933795231
BaseRepresentation
bin10100001010000000000…
…010110010100011110100
311220102020221002212202221
4110022000002302203310
5140143220141344330
62540152513212124
7202033520025121
oct24120002624364
94812227085687
101385127684340
1149447a516424
121a4544561044
13a08036755aa
144b07d341748
152606c66cb7a
hex142800b28f4

1385127684340 has 96 divisors (see below), whose sum is σ = 2948314037760. Its totient is φ = 546584371200.

The previous prime is 1385127684329. The next prime is 1385127684397. The reversal of 1385127684340 is 434867215831.

It is a super-3 number, since 3×13851276843403 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264789525 + ... + 264794755.

It is an arithmetic number, because the mean of its divisors is an integer number (30711604560).

Almost surely, 21385127684340 is an apocalyptic number.

1385127684340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1385127684340 is an abundant number, since it is smaller than the sum of its proper divisors (1563186353420).

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

1385127684340 is a wasteful number, since it uses less digits than its factorization.

1385127684340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5993 (or 5991 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 1385127684340 in words is "one trillion, three hundred eighty-five billion, one hundred twenty-seven million, six hundred eighty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 181 193 362 379 386 724 758 772 905 965 1516 1810 1895 1930 3620 3790 3860 5231 7580 10462 20924 26155 34933 52310 68599 69866 73147 104620 137198 139732 146294 174665 274396 292588 342995 349330 365735 685990 698660 731470 946811 1009583 1371980 1462940 1893622 1982549 2019166 3787244 3965098 4038332 4734055 5047915 7930196 9468110 9912745 10095830 13239607 18936220 19825490 20191660 26479214 39650980 52958428 66198035 132396070 182734523 264792140 358841369 365469046 382631957 717682738 730938092 765263914 913672615 1435365476 1530527828 1794206845 1827345230 1913159785 3588413690 3654690460 3826319570 7176827380 7652639140 69256384217 138512768434 277025536868 346281921085 692563842170 1385127684340