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3132112125040 = 245197601330679
BaseRepresentation
bin101101100101000000011…
…011100011110001110000
3102002102112021112120221021
4231211000123203301300
5402304031201000130
610354512240505224
7442200441535303
oct55450033436160
912072467476837
103132112125040
11aa8359705698
1242703601b214
13199484179462
14ab848ac6b3a
1556717c1737a
hex2d9406e3c70

3132112125040 has 80 divisors (see below), whose sum is σ = 7331326390080. Its totient is φ = 1244407449600.

The previous prime is 3132112125011. The next prime is 3132112125041. The reversal of 3132112125040 is 405212112313.

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 = 3132112124996 and 3132112125014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3132112125041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9306421 + ... + 9637099.

It is an arithmetic number, because the mean of its divisors is an integer number (91641579876).

Almost surely, 23132112125040 is an apocalyptic number.

It is an amenable number.

3132112125040 is an abundant number, since it is smaller than the sum of its proper divisors (4199214265040).

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

3132112125040 is a wasteful number, since it uses less digits than its factorization.

3132112125040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331490 (or 331484 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 3132112125040 its reverse (405212112313), we get a palindrome (3537324237353).

The spelling of 3132112125040 in words is "three trillion, one hundred thirty-two billion, one hundred twelve million, one hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 197 394 601 788 985 1202 1576 1970 2404 3005 3152 3940 4808 6010 7880 9616 12020 15760 24040 48080 118397 236794 330679 473588 591985 661358 947176 1183970 1322716 1653395 1894352 2367940 2645432 3306790 4735880 5290864 6613580 9471760 13227160 26454320 65143763 130287526 198738079 260575052 325718815 397476158 521150104 651437630 794952316 993690395 1042300208 1302875260 1589904632 1987380790 2605750520 3179809264 3974761580 5211501040 7949523160 15899046320 39151401563 78302803126 156605606252 195757007815 313211212504 391514015630 626422425008 783028031260 1566056062520 3132112125040