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1320035311540 = 225112618942117
BaseRepresentation
bin10011001101011000001…
…111000101111110110100
311200012020112022201210201
4103031120033011332310
5133111413014432130
62450225453530244
7164240464005361
oct23153017057664
94605215281721
101320035311540
1146990757a300
121939b91a3984
139762bbb687a
1447c66423468
152450cd18bca
hex133583c5fb4

1320035311540 has 72 divisors (see below), whose sum is σ = 3096941611176. Its totient is φ = 472143724800.

The previous prime is 1320035311489. The next prime is 1320035311579. The reversal of 1320035311540 is 451135300231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 162547661584 + 1157487649956 = 403172^2 + 1075866^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1320035311499 and 1320035311508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4323439 + ... + 4618678.

It is an arithmetic number, because the mean of its divisors is an integer number (43013077933).

Almost surely, 21320035311540 is an apocalyptic number.

1320035311540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320035311540 is an abundant number, since it is smaller than the sum of its proper divisors (1776906299636).

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

1320035311540 is a wasteful number, since it uses less digits than its factorization.

1320035311540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8942209 (or 8942196 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The spelling of 1320035311540 in words is "one trillion, three hundred twenty billion, thirty-five million, three hundred eleven thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 121 122 220 242 244 305 484 605 610 671 1210 1220 1342 2420 2684 3355 6710 7381 13420 14762 29524 36905 73810 147620 8942117 17884234 35768468 44710585 89421170 98363287 178842340 196726574 393453148 491816435 545469137 983632870 1081996157 1090938274 1967265740 2163992314 2181876548 2727345685 4327984628 5409980785 5454691370 6000160507 10819961570 10909382740 12000321014 21639923140 24000642028 30000802535 60001605070 66001765577 120003210140 132003531154 264007062308 330008827885 660017655770 1320035311540