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29344587412140 = 22355731121319231
BaseRepresentation
bin1101010110000010100011…
…01101010111001010101100
310211220022111202021120200000
412223001101231113022230
512321240203334142030
6142224414540504300
76116035142331000
oct653012155271254
9124808452246600
1029344587412140
119393a73645100
12335b216b4b090
13134b24b585420
147363dd9d4700
1535d4c0311860
hex1ab051b572ac

29344587412140 has 5184 divisors, whose sum is σ = 138824237260800. Its totient is φ = 5160284236800.

The previous prime is 29344587412139. The next prime is 29344587412141. The reversal of 29344587412140 is 4121478544392.

It is a happy number.

29344587412140 is a `hidden beast` number, since 2 + 9 + 3 + 4 + 4 + 5 + 87 + 412 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (29344587412139) and next prime (29344587412141).

It is a super-2 number, since 2×293445874121402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29344587412141) by changing a digit.

It is a polite number, since it can be written in 1727 ways as a sum of consecutive naturals, for example, 946599593925 + ... + 946599593955.

Almost surely, 229344587412140 is an apocalyptic number.

29344587412140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29344587412140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69412118630400).

29344587412140 is an abundant number, since it is smaller than the sum of its proper divisors (109479649848660).

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

29344587412140 is a wasteful number, since it uses less digits than its factorization.

29344587412140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 29344587412140 in words is "twenty-nine trillion, three hundred forty-four billion, five hundred eighty-seven million, four hundred twelve thousand, one hundred forty".