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33342144420 = 223513103415013
BaseRepresentation
bin11111000011010110…
…001011111110100100
310012001200010102121210
4133003112023332210
51021241042110140
623152301511420
72260151360064
oct370326137644
9105050112553
1033342144420
111315a853662
126566272570
1331b4912050
1418842753a4
15d02253d80
hex7c358bfa4

33342144420 has 96 divisors (see below), whose sum is σ = 101515744512. Its totient is φ = 8127595008.

The previous prime is 33342144383. The next prime is 33342144461. The reversal of 33342144420 is 2444124333.

It is a happy number.

It is a super-2 number, since 2×333421444202 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127167 + ... + 287846.

It is an arithmetic number, because the mean of its divisors is an integer number (1057455672).

Almost surely, 233342144420 is an apocalyptic number.

33342144420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33342144420 is an abundant number, since it is smaller than the sum of its proper divisors (68173600092).

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

33342144420 is a wasteful number, since it uses less digits than its factorization.

33342144420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415141 (or 415139 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 33342144420 its reverse (2444124333), we get a palindrome (35786268753).

The spelling of 33342144420 in words is "thirty-three billion, three hundred forty-two million, one hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 103 130 156 195 206 260 309 390 412 515 618 780 1030 1236 1339 1545 2060 2678 3090 4017 5356 6180 6695 8034 13390 16068 20085 26780 40170 80340 415013 830026 1245039 1660052 2075065 2490078 4150130 4980156 5395169 6225195 8300260 10790338 12450390 16185507 21580676 24900780 26975845 32371014 42746339 53951690 64742028 80927535 85492678 107903380 128239017 161855070 170985356 213731695 256478034 323710140 427463390 512956068 555702407 641195085 854926780 1111404814 1282390170 1667107221 2222809628 2564780340 2778512035 3334214442 5557024070 6668428884 8335536105 11114048140 16671072210 33342144420