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4552355401440 = 2535711313973219
BaseRepresentation
bin100001000111110110110…
…0001101100111011100000
3121010012102110211101010220
41002033231201230323200
51044041210440321230
613403153451123040
7646616416312020
oct102175541547340
917105373741126
104552355401440
1114a5708a43080
1261633a743480
13270392988192
1411a499a23a80
157d63d149d10
hex423ed86cee0

4552355401440 has 384 divisors, whose sum is σ = 18455066542080. Its totient is φ = 915429427200.

The previous prime is 4552355401361. The next prime is 4552355401463. The reversal of 4552355401440 is 441045532554.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4552355401392 and 4552355401401.

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, 840850 + ... + 3132369.

It is an arithmetic number, because the mean of its divisors is an integer number (48060069120).

Almost surely, 24552355401440 is an apocalyptic number.

4552355401440 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 4552355401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9227533271040).

4552355401440 is an abundant number, since it is smaller than the sum of its proper divisors (13902711140640).

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

4552355401440 is a wasteful number, since it uses less digits than its factorization.

4552355401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3973286 (or 3973278 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 42.

The spelling of 4552355401440 in words is "four trillion, five hundred fifty-two billion, three hundred fifty-five million, four hundred one thousand, four hundred forty".