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31434011411022 = 232111747355955829
BaseRepresentation
bin1110010010110110011010…
…00101011000001001001110
311010022001200022011020202200
413021123031011120021032
513110003323410123042
6150504330244302330
76423014051306043
oct711331505301116
9133261608136680
1031434011411022
11a01a0a8a5a8a0
1236381569a19a6
1314702a34c67ac
147a95b2a851ca
15397a0dcddc4c
hex1c96cd15824e

31434011411022 has 192 divisors, whose sum is σ = 80366900889600. Its totient is φ = 8771766819840.

The previous prime is 31434011410979. The next prime is 31434011411057. The reversal of 31434011411022 is 22011411043413.

It is a happy number.

31434011411022 is a `hidden beast` number, since 3 + 1 + 434 + 0 + 114 + 110 + 2 + 2 = 666.

It is a super-2 number, since 2×314340114110222 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 563013004 + ... + 563068832.

It is an arithmetic number, because the mean of its divisors is an integer number (418577608800).

Almost surely, 231434011411022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31434011411022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40183450444800).

31434011411022 is an abundant number, since it is smaller than the sum of its proper divisors (48932889478578).

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

31434011411022 is a wasteful number, since it uses less digits than its factorization.

31434011411022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59471 (or 59468 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 31434011411022 its reverse (22011411043413), we get a palindrome (53445422454435).

The spelling of 31434011411022 in words is "thirty-one trillion, four hundred thirty-four billion, eleven million, four hundred eleven thousand, twenty-two".