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4202213532240 = 243566126488991
BaseRepresentation
bin111101001001100111011…
…100011110001001010000
3112212201122111010110211010
4331021213130132021100
51022322113131012430
612534245323450520
7612412524446643
oct75114734361120
915781574113733
104202213532240
11138016aa95359
1257a500986a40
132463618a67a9
141075613c1a5a
1574498920cb0
hex3d26771e250

4202213532240 has 80 divisors (see below), whose sum is σ = 13046570251776. Its totient is φ = 1118894937600.

The previous prime is 4202213532239. The next prime is 4202213532241. The reversal of 4202213532240 is 422353122024.

4202213532240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4202213532239) and next prime (4202213532241).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4202213532198 and 4202213532207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202213532241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13085856 + ... + 13403135.

Almost surely, 24202213532240 is an apocalyptic number.

4202213532240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4202213532240 is an abundant number, since it is smaller than the sum of its proper divisors (8844356719536).

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

4202213532240 is a wasteful number, since it uses less digits than its factorization.

4202213532240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26489668 (or 26489662 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 4202213532240 its reverse (422353122024), we get a palindrome (4624566654264).

The spelling of 4202213532240 in words is "four trillion, two hundred two billion, two hundred thirteen million, five hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 661 1322 1983 2644 3305 3966 5288 6610 7932 9915 10576 13220 15864 19830 26440 31728 39660 52880 79320 158640 26488991 52977982 79466973 105955964 132444955 158933946 211911928 264889910 317867892 397334865 423823856 529779820 635735784 794669730 1059559640 1271471568 1589339460 2119119280 3178678920 6357357840 17509223051 35018446102 52527669153 70036892204 87546115255 105055338306 140073784408 175092230510 210110676612 262638345765 280147568816 350184461020 420221353224 525276691530 700368922040 840442706448 1050553383060 1400737844080 2101106766120 4202213532240