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4321035421440 = 283523374132251
BaseRepresentation
bin111110111000010001110…
…010000000011100000000
3120022002100101110212010020
4332320101302000130000
51031243440031441230
613105020053133440
7624120200031663
oct76702162003400
916262311425106
104321035421440
1114165a4934391
1259954202a280
1325461999197a
1410d1d40956da
1577600261810
hex3ee11c80700

4321035421440 has 576 divisors, whose sum is σ = 15150707776512. Its totient is φ = 1046200320000.

The previous prime is 4321035421393. The next prime is 4321035421457. The reversal of 4321035421440 is 441245301234.

It is a super-2 number, since 2×43210354214402 (a number of 26 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 63 ways as a sum of consecutive naturals, for example, 133965315 + ... + 133997565.

It is an arithmetic number, because the mean of its divisors is an integer number (26303312112).

Almost surely, 24321035421440 is an apocalyptic number.

4321035421440 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 4321035421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7575353888256).

4321035421440 is an abundant number, since it is smaller than the sum of its proper divisors (10829672355072).

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

4321035421440 is a wasteful number, since it uses less digits than its factorization.

4321035421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32376 (or 32362 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 4321035421440 in words is "four trillion, three hundred twenty-one billion, thirty-five million, four hundred twenty-one thousand, four hundred forty".