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1453131270829 = 72229439294991
BaseRepresentation
bin10101001001010101010…
…111111000101010101101
312010220210012212000011101
4111021111113320222231
5142302003101131304
63031320450123101
7206661643001200
oct25112527705255
95126705760141
101453131270829
115102a67a0477
121b5762880491
13a7050300174
1450490b53937
1527bec8788a4
hex152555f8aad

1453131270829 has 24 divisors (see below), whose sum is σ = 1701631852800. Its totient is φ = 1237273017120.

The previous prime is 1453131270823. The next prime is 1453131270917. The reversal of 1453131270829 is 9280721313541.

It is not a de Polignac number, because 1453131270829 - 23 = 1453131270821 is a prime.

It is a super-2 number, since 2×14531312708292 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1453131270821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4778524 + ... + 5073514.

It is an arithmetic number, because the mean of its divisors is an integer number (70901327200).

Almost surely, 21453131270829 is an apocalyptic number.

It is an amenable number.

1453131270829 is a deficient number, since it is larger than the sum of its proper divisors (248500581971).

1453131270829 is a wasteful number, since it uses less digits than its factorization.

1453131270829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295673 (or 295666 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 1453131270829 in words is "one trillion, four hundred fifty-three billion, one hundred thirty-one million, two hundred seventy thousand, eight hundred twenty-nine".

Divisors: 1 7 49 229 439 1603 3073 11221 21511 100531 294991 703717 2064937 4926019 14454559 67552939 129501049 472870573 906507343 3310094011 6345551401 29655740221 207590181547 1453131270829