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4003423480320 = 29351161776869
BaseRepresentation
bin111010010000011110101…
…000100110101000000000
3112011201112110120112001120
4322100132220212220000
51011043002402332240
612303051455032240
7562144365053235
oct72203650465000
915151473515046
104003423480320
11130392a205050
12547a8250b680
132306a1152b34
14dbaa3c9d78c
156e2117eead0
hex3a41ea26a00

4003423480320 has 320 divisors, whose sum is σ = 14190841906560. Its totient is φ = 954615398400.

The previous prime is 4003423480319. The next prime is 4003423480333. The reversal of 4003423480320 is 230843243004.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4764846 + ... + 5541714.

It is an arithmetic number, because the mean of its divisors is an integer number (44346380958).

Almost surely, 24003423480320 is an apocalyptic number.

4003423480320 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 4003423480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7095420953280).

4003423480320 is an abundant number, since it is smaller than the sum of its proper divisors (10187418426240).

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

4003423480320 is a wasteful number, since it uses less digits than its factorization.

4003423480320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776967 (or 776951 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

The spelling of 4003423480320 in words is "four trillion, three billion, four hundred twenty-three million, four hundred eighty thousand, three hundred twenty".