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40302201420 = 223251320178539
BaseRepresentation
bin100101100010001100…
…101100101001001100
310212000201200221220200
4211202030230221030
51130014330421140
630303052013500
72624504026335
oct454214545114
9125021627820
1040302201420
11161015a6488
127989161290
133a53871380
141d4479528c
1510ad2cd030
hex96232ca4c

40302201420 has 144 divisors (see below), whose sum is σ = 131734555680. Its totient is φ = 9914462208.

The previous prime is 40302201391. The next prime is 40302201437. The reversal of 40302201420 is 2410220304.

40302201420 is a `hidden beast` number, since 40 + 3 + 0 + 2 + 201 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40302201393 and 40302201402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4715511 + ... + 4724049.

Almost surely, 240302201420 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 40302201420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65867277840).

40302201420 is an abundant number, since it is smaller than the sum of its proper divisors (91432354260).

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

40302201420 is a wasteful number, since it uses less digits than its factorization.

40302201420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10584 (or 10579 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 40302201420 its reverse (2410220304), we get a palindrome (42712421724).

The spelling of 40302201420 in words is "forty billion, three hundred two million, two hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2017 2340 4034 6051 8068 8539 10085 12102 17078 18153 20170 24204 25617 26221 30255 34156 36306 40340 42695 51234 52442 60510 72612 76851 78663 85390 90765 102468 104884 111007 121020 128085 131105 153702 157326 170780 181530 222014 235989 256170 262210 307404 314652 333021 363060 384255 393315 444028 471978 512340 524420 555035 666042 768510 786630 943956 999063 1110070 1179945 1332084 1537020 1573260 1665105 1998126 2220140 2359890 3330210 3996252 4719780 4995315 6660420 9990630 17223163 19981260 34446326 51669489 68892652 86115815 103338978 155008467 172231630 206677956 223901119 258347445 310016934 344463260 447802238 516694890 620033868 671703357 775042335 895604476 1033389780 1119505595 1343406714 1550084670 2015110071 2239011190 2686813428 3100169340 3358516785 4030220142 4478022380 6717033570 8060440284 10075550355 13434067140 20151100710 40302201420