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4031222979840 = 2835717291072843
BaseRepresentation
bin111010101010010111100…
…111010001110100000000
3112021101021212020102020220
4322222113213101310000
51012021421040323330
612323530202503040
7564150314646630
oct72522747216400
915241255212226
104031222979840
1113146a5307541
12551340504a80
132331b166c834
14dd17dd7a6c0
156ecdc15d710
hex3aa979d1d00

4031222979840 has 1152 divisors, whose sum is σ = 16273060392960. Its totient is φ = 829199745024.

The previous prime is 4031222979793. The next prime is 4031222979871. The reversal of 4031222979840 is 489792221304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1417945459 + ... + 1417948301.

It is an arithmetic number, because the mean of its divisors is an integer number (14125920480).

Almost surely, 24031222979840 is an apocalyptic number.

4031222979840 is a gapful number since it is divisible by the number (40) 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 4031222979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8136530196480).

4031222979840 is an abundant number, since it is smaller than the sum of its proper divisors (12241837413120).

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

4031222979840 is a wasteful number, since it uses less digits than its factorization.

4031222979840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3027 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 4031222979840 in words is "four trillion, thirty-one billion, two hundred twenty-two million, nine hundred seventy-nine thousand, eight hundred forty".