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35201244323140 = 225713711971153313
BaseRepresentation
bin10000000000011111011011…
…01010011101110101000100
311121122012120020111201211221
420000033231222131311010
514103214122021320030
6202511121200010124
710262130435565540
oct1000175552356504
9147565506451757
1035201244323140
11102418447a9145
123b462a1600944
13168460356535c
14899a6c1a0a20
154109e9d12e7a
hex2003eda9dd44

35201244323140 has 96 divisors (see below), whose sum is σ = 85107314444544. Its totient is φ = 11979824209920.

The previous prime is 35201244323093. The next prime is 35201244323149. The reversal of 35201244323140 is 4132344210253.

It is a junction number, because it is equal to n+sod(n) for n = 35201244323096 and 35201244323105.

It is not an unprimeable number, because it can be changed into a prime (35201244323149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229527124 + ... + 229680436.

It is an arithmetic number, because the mean of its divisors is an integer number (886534525464).

Almost surely, 235201244323140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35201244323140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42553657222272).

35201244323140 is an abundant number, since it is smaller than the sum of its proper divisors (49906070121404).

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

35201244323140 is a wasteful number, since it uses less digits than its factorization.

35201244323140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165437 (or 165435 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 35201244323140 its reverse (4132344210253), we get a palindrome (39333588533393).

The spelling of 35201244323140 in words is "thirty-five trillion, two hundred one billion, two hundred forty-four million, three hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 137 140 274 548 685 959 1370 1918 2740 3836 4795 9590 11971 19180 23942 47884 59855 83797 119710 153313 167594 239420 306626 335188 418985 613252 766565 837970 1073191 1533130 1640027 1675940 2146382 3066260 3280054 4292764 5365955 6560108 8200135 10731910 11480189 16400270 21003881 21463820 22960378 32800540 42007762 45920756 57400945 84015524 105019405 114801890 147027167 210038810 229603780 294054334 420077620 588108668 735135835 1470271670 1835309923 2940543340 3670619846 7341239692 9176549615 12847169461 18353099230 25694338922 36706198460 51388677844 64235847305 128471694610 251437459451 256943389220 502874918902 1005749837804 1257187297255 1760062216157 2514374594510 3520124432314 5028749189020 7040248864628 8800311080785 17600622161570 35201244323140