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420575120522140 = 22519472501030617
BaseRepresentation
bin101111110100000101100011…
…0101010001111101110011100
32001011010120220021110020202211
41133220023012222033232130
5420111200321323202030
64050253313145530204
7154405356361515343
oct13750130652175634
92034116807406684
10420575120522140
1111200a9a8189281
123b206338aa3964
131508a0a9c0324c
1475bdd317b6b5a
1533951cda1a12a
hex17e82c6a8fb9c

420575120522140 has 72 divisors (see below), whose sum is σ = 949893928053840. Its totient is φ = 155984859618048.

The previous prime is 420575120522119. The next prime is 420575120522143. The reversal of 420575120522140 is 41225021575024.

It is a super-3 number, since 3×4205751205221403 (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420575120522093 and 420575120522102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420575120522143) 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, 249675889 + ... + 251354728.

It is an arithmetic number, because the mean of its divisors is an integer number (13192971222970).

Almost surely, 2420575120522140 is an apocalyptic number.

It is an amenable number.

420575120522140 is an abundant number, since it is smaller than the sum of its proper divisors (529318807531700).

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

420575120522140 is a wasteful number, since it uses less digits than its factorization.

420575120522140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501030739 (or 501030690 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 40.

The spelling of 420575120522140 in words is "four hundred twenty trillion, five hundred seventy-five billion, one hundred twenty million, five hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 47 76 94 95 188 190 235 380 470 893 940 1786 2209 3572 4418 4465 8836 8930 11045 17860 22090 41971 44180 83942 167884 209855 419710 839420 501030617 1002061234 2004122468 2505153085 5010306170 9519581723 10020612340 19039163446 23548438999 38078326892 47096877998 47597908615 94193755996 95195817230 117742194995 190391634460 235484389990 447420340981 470968779980 894840681962 1106776632953 1789681363924 2213553265906 2237101704905 4427106531812 4474203409810 5533883164765 8948406819620 11067766329530 21028756026107 22135532659060 42057512052214 84115024104428 105143780130535 210287560261070 420575120522140