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31424240000322 = 232131971233427249
BaseRepresentation
bin1110010010100100001101…
…01010011001110101000010
311010021010110022112011012200
413021102012222121311002
513104323320420002242
6150500032505134030
76422216650553151
oct711220652316502
9133233408464180
1031424240000322
11a015a44285364
12363628a48a316
13146c3a6c93480
147a8d27027598
1539763b03604c
hex1c9486a99d42

31424240000322 has 192 divisors, whose sum is σ = 78605523360000. Its totient is φ = 8992305745920.

The previous prime is 31424240000281. The next prime is 31424240000401. The reversal of 31424240000322 is 22300004242413.

31424240000322 is a `hidden beast` number, since 3 + 14 + 242 + 400 + 0 + 0 + 3 + 2 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73336554 + ... + 73763802.

It is an arithmetic number, because the mean of its divisors is an integer number (409403767500).

Almost surely, 231424240000322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31424240000322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39302761680000).

31424240000322 is an abundant number, since it is smaller than the sum of its proper divisors (47181283359678).

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

31424240000322 is a wasteful number, since it uses less digits than its factorization.

31424240000322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427593 (or 427590 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 31424240000322 its reverse (22300004242413), we get a palindrome (53724244242735).

The spelling of 31424240000322 in words is "thirty-one trillion, four hundred twenty-four billion, two hundred forty million, three hundred twenty-two", and thus it is an aban number.