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35114104425104 = 2419415711493301
BaseRepresentation
bin1111111101111101000111…
…01110001000101010010000
311121022212122022102021000222
413332332203232020222100
514100302141213100404
6202403110305332212
710252624145640635
oct776764356105220
9147285568367028
1035114104425104
1110208898585a91
123b31422637068
131679327154803
1489576309018c
1540d5e9ae3dbe
hex1fefa3b88a90

35114104425104 has 80 divisors (see below), whose sum is σ = 73373976264960. Its totient is φ = 16224439680000.

The previous prime is 35114104425077. The next prime is 35114104425119. The reversal of 35114104425104 is 40152440141153.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70935254 + ... + 71428554.

It is an arithmetic number, because the mean of its divisors is an integer number (917174703312).

Almost surely, 235114104425104 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 35114104425104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36686988132480).

35114104425104 is an abundant number, since it is smaller than the sum of its proper divisors (38259871839856).

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

35114104425104 is a wasteful number, since it uses less digits than its factorization.

35114104425104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499080 (or 499074 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

Adding to 35114104425104 its reverse (40152440141153), we get a palindrome (75266544566257).

The spelling of 35114104425104 in words is "thirty-five trillion, one hundred fourteen billion, one hundred four million, four hundred twenty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 19 38 41 76 82 152 164 304 328 656 779 1558 3116 5711 6232 11422 12464 22844 45688 91376 108509 217018 234151 434036 468302 493301 868072 936604 986602 1736144 1873208 1973204 3746416 3946408 4448869 7892816 8897738 9372719 17795476 18745438 20225341 35590952 37490876 40450682 71181904 74981752 80901364 149963504 161802728 323605456 384281479 768562958 1537125916 2817242011 3074251832 5634484022 6148503664 11268968044 22537936088 45075872176 53527598209 107055196418 115506922451 214110392836 231013844902 428220785672 462027689804 856441571344 924055379608 1848110759216 2194631526569 4389263053138 8778526106276 17557052212552 35114104425104