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1035251445040 = 24519681086477
BaseRepresentation
bin11110001000010011100…
…10110110110100110000
310122222011110020101011121
433010021302312310300
5113430143332220130
62111330555152024
7134536332043201
oct17041162666460
93588143211147
101035251445040
1136a0584a734a
1214877b745614
1376815619867
143816c0c75a8
151bde1413d7a
hexf109cb6d30

1035251445040 has 40 divisors (see below), whose sum is σ = 2533641698160. Its totient is φ = 392305810176.

The previous prime is 1035251445029. The next prime is 1035251445047. The reversal of 1035251445040 is 405441525301.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1035251444987 and 1035251445005.

It is not an unprimeable number, because it can be changed into a prime (1035251445047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 340541719 + ... + 340544758.

It is an arithmetic number, because the mean of its divisors is an integer number (63341042454).

Almost surely, 21035251445040 is an apocalyptic number.

1035251445040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1035251445040 is an abundant number, since it is smaller than the sum of its proper divisors (1498390253120).

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

1035251445040 is a wasteful number, since it uses less digits than its factorization.

1035251445040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681086509 (or 681086503 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 1035251445040 in words is "one trillion, thirty-five billion, two hundred fifty-one million, four hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 681086477 1362172954 2724345908 3405432385 5448691816 6810864770 10897383632 12940643063 13621729540 25881286126 27243459080 51762572252 54486918160 64703215315 103525144504 129406430630 207050289008 258812861260 517625722520 1035251445040