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32123010040 = 23511409317837
BaseRepresentation
bin11101111010101011…
…100011101111111000
310001220201002222122121
4131322223203233320
51011241442310130
622431311331024
72215016036332
oct357253435770
9101821088577
1032123010040
1112694668990
126285b20a74
13304c17b464
1417aa3a4452
15c801d8d7a
hex77aae3bf8

32123010040 has 64 divisors (see below), whose sum is σ = 78871073760. Its totient is φ = 11677585920.

The previous prime is 32123009987. The next prime is 32123010067. The reversal of 32123010040 is 4001032123.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 32123009996 and 32123010023.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1792002 + ... + 1809838.

Almost surely, 232123010040 is an apocalyptic number.

It is an amenable number.

32123010040 is an abundant number, since it is smaller than the sum of its proper divisors (46748063720).

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

32123010040 is a wasteful number, since it uses less digits than its factorization.

32123010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21952 (or 21948 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 32123010040 its reverse (4001032123), we get a palindrome (36124042163).

The spelling of 32123010040 in words is "thirty-two billion, one hundred twenty-three million, ten thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 4093 8186 16372 17837 20465 32744 35674 40930 45023 71348 81860 89185 90046 142696 163720 178370 180092 196207 225115 356740 360184 392414 450230 713480 784828 900460 981035 1569656 1800920 1962070 3924140 7848280 73006841 146013682 292027364 365034205 584054728 730068410 803075251 1460136820 1606150502 2920273640 3212301004 4015376255 6424602008 8030752510 16061505020 32123010040