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1335477109340 = 225111731235569
BaseRepresentation
bin10011011011110000101…
…000111000001001011100
311201200002200210100010202
4103123300220320021130
5133340024114444330
62501302033123032
7165325240063133
oct23336050701134
94650080710122
101335477109340
11475411015570
121969a86b9478
1398c2011a12a
14488cd1ac91a
1524b137eb445
hex136f0a3825c

1335477109340 has 96 divisors (see below), whose sum is σ = 3250636401600. Its totient is φ = 457061314560.

The previous prime is 1335477109279. The next prime is 1335477109361. The reversal of 1335477109340 is 439017745331.

It is a super-2 number, since 2×13354771093402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463076 + ... + 1698644.

It is an arithmetic number, because the mean of its divisors is an integer number (33860795850).

Almost surely, 21335477109340 is an apocalyptic number.

1335477109340 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 1335477109340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625318200800).

1335477109340 is an abundant number, since it is smaller than the sum of its proper divisors (1915159292260).

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

1335477109340 is a wasteful number, since it uses less digits than its factorization.

1335477109340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235640 (or 1235604 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 47.

The spelling of 1335477109340 in words is "one trillion, three hundred thirty-five billion, four hundred seventy-seven million, one hundred nine thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 289 340 374 578 748 935 1156 1445 1870 2890 3179 3740 4913 5780 6358 9826 12716 15895 19652 24565 31790 49130 54043 63580 98260 108086 216172 270215 540430 1080860 1235569 2471138 4942276 6177845 12355690 13591259 21004673 24711380 27182518 42009346 54365036 67956295 84018692 105023365 135912590 210046730 231051403 271825180 357079441 420093460 462102806 714158882 924205612 1155257015 1428317764 1785397205 2310514030 3570794410 3927873851 4621028060 6070350497 7141588820 7855747702 12140700994 15711495404 19639369255 24281401988 30351752485 39278738510 60703504970 66773855467 78557477020 121407009940 133547710934 267095421868 333869277335 667738554670 1335477109340