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420520450544031 = 33161127919635119
BaseRepresentation
bin101111110011101100000110…
…0000100110101000110011111
32001010221100210020020121111210
41133213120030010311012133
5420104301340314402111
64050212232242315503
7154401412532414145
oct13747301404650637
92033840706217453
10420520450544031
11111a997a3428592
123b1b7820058b93
1315084ba67b4686
1475bb426b71595
153393a7e1ad0a6
hex17e760c13519f

420520450544031 has 64 divisors (see below), whose sum is σ = 593547178803200. Its totient is φ = 264466183766400.

The previous prime is 420520450544023. The next prime is 420520450544039. The reversal of 420520450544031 is 130445054025024.

It is an interprime number because it is at equal distance from previous prime (420520450544023) and next prime (420520450544039).

It is not a de Polignac number, because 420520450544031 - 23 = 420520450544023 is a prime.

It is a super-2 number, since 2×4205204505440312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420520450544039) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 661795290 + ... + 662430408.

It is an arithmetic number, because the mean of its divisors is an integer number (9274174668800).

Almost surely, 2420520450544031 is an apocalyptic number.

420520450544031 is a deficient number, since it is larger than the sum of its proper divisors (173026728259169).

420520450544031 is a wasteful number, since it uses less digits than its factorization.

420520450544031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636260.

The product of its (nonzero) digits is 384000, while the sum is 39.

The spelling of 420520450544031 in words is "four hundred twenty trillion, five hundred twenty billion, four hundred fifty million, five hundred forty-four thousand, thirty-one".

Divisors: 1 3 31 61 93 127 183 381 919 1891 2757 3937 5673 7747 11811 23241 28489 56059 85467 116713 168177 240157 350139 635119 720471 1737829 1905357 3618103 5213487 7119493 10854309 19688689 21358479 38742259 59066067 80660113 116226777 220704283 241980339 583674361 662112849 1201010029 1751023083 2500463503 3603030087 4920266893 7501390509 14760800679 18093905191 35604136021 54281715573 74126643847 106812408063 152528273683 222379931541 457584821049 1103728216651 2297925959257 3311184649953 4521725274667 6893777877771 13565175824001 140173483514677 420520450544031