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32213141040 = 24351311024591
BaseRepresentation
bin11110000000000011…
…011000011000110000
310002010222201010010210
4132000003120120300
51011433031003130
622444251224120
72220162116043
oct360003303060
9102128633123
1032213141040
1112730529713
1262b0148040
133064a47c02
1417b8346c5a
15c8808e5b0
hex7800d8630

32213141040 has 80 divisors (see below), whose sum is σ = 100623131136. Its totient is φ = 8524588800.

The previous prime is 32213141017. The next prime is 32213141057. The reversal of 32213141040 is 4014131223.

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

It is a junction number, because it is equal to n+sod(n) for n = 32213140998 and 32213141016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480856 + ... + 543735.

Almost surely, 232213141040 is an apocalyptic number.

32213141040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32213141040 is an abundant number, since it is smaller than the sum of its proper divisors (68409990096).

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

32213141040 is a wasteful number, since it uses less digits than its factorization.

32213141040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024738 (or 1024732 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 32213141040 its reverse (4014131223), we get a palindrome (36227272263).

The spelling of 32213141040 in words is "thirty-two billion, two hundred thirteen million, one hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 240 262 393 524 655 786 1048 1310 1572 1965 2096 2620 3144 3930 5240 6288 7860 10480 15720 31440 1024591 2049182 3073773 4098364 5122955 6147546 8196728 10245910 12295092 15368865 16393456 20491820 24590184 30737730 40983640 49180368 61475460 81967280 122950920 134221421 245901840 268442842 402664263 536885684 671107105 805328526 1073771368 1342214210 1610657052 2013321315 2147542736 2684428420 3221314104 4026642630 5368856840 6442628208 8053285260 10737713680 16106570520 32213141040