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1331255304240 = 243543397324931
BaseRepresentation
bin10011010111110100111…
…111111110000000110000
311201021012110201102021220
4103113310333332000300
5133302402324213430
62455323101145040
7165115514244351
oct23276477760060
94637173642256
101331255304240
11473644a05944
1219600a85b180
13986c95784c4
144860c5dbd28
1524967d61110
hex135f4ffe030

1331255304240 has 160 divisors (see below), whose sum is σ = 4233515632896. Its totient is φ = 345871088640.

The previous prime is 1331255304149. The next prime is 1331255304257. The reversal of 1331255304240 is 424035521331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3934575 + ... + 4259505.

Almost surely, 21331255304240 is an apocalyptic number.

1331255304240 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 1331255304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116757816448).

1331255304240 is an abundant number, since it is smaller than the sum of its proper divisors (2902260328656).

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

1331255304240 is a wasteful number, since it uses less digits than its factorization.

1331255304240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325387 (or 325381 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 1331255304240 in words is "one trillion, three hundred thirty-one billion, two hundred fifty-five million, three hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 397 430 516 645 688 794 860 1032 1191 1290 1588 1720 1985 2064 2382 2580 3176 3440 3970 4764 5160 5955 6352 7940 9528 10320 11910 15880 17071 19056 23820 31760 34142 47640 51213 68284 85355 95280 102426 136568 170710 204852 256065 273136 324931 341420 409704 512130 649862 682840 819408 974793 1024260 1299724 1365680 1624655 1949586 2048520 2599448 3249310 3899172 4097040 4873965 5198896 6498620 7798344 9747930 12997240 13972033 15596688 19495860 25994480 27944066 38991720 41916099 55888132 69860165 77983440 83832198 111776264 128997607 139720330 167664396 209580495 223552528 257995214 279440660 335328792 386992821 419160990 515990428 558881320 644988035 670657584 773985642 838321980 1031980856 1117762640 1289976070 1547971284 1676643960 1934964105 2063961712 2579952140 3095942568 3353287920 3869928210 5159904280 5546897101 6191885136 7739856420 10319808560 11093794202 15479712840 16640691303 22187588404 27734485505 30959425680 33281382606 44375176808 55468971010 66562765212 83203456515 88750353616 110937942020 133125530424 166406913030 221875884040 266251060848 332813826060 443751768080 665627652120 1331255304240