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1434768850944 = 21433111337613
BaseRepresentation
bin10100111000001110111…
…000110100000000000000
312002011101111201102112000
4110320032320310000000
5142001401311212234
63015042415504000
7205441624003302
oct24701670640000
95064344642460
101434768850944
11503533680650
121b2099228000
13a53b4c88560
144d62c145972
15274c5781899
hex14e0ee34000

1434768850944 has 960 divisors, whose sum is σ = 5137572007680. Its totient is φ = 389850071040.

The previous prime is 1434768850861. The next prime is 1434768850961. The reversal of 1434768850944 is 4490588674341.

1434768850944 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 7 + 6 + 88 + 509 + 44 = 666.

It is a super-2 number, since 2×14347688509442 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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, 2340568782 + ... + 2340569394.

It is an arithmetic number, because the mean of its divisors is an integer number (5351637508).

Almost surely, 21434768850944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434768850944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568786003840).

1434768850944 is an abundant number, since it is smaller than the sum of its proper divisors (3702803156736).

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

1434768850944 is a wasteful number, since it uses less digits than its factorization.

1434768850944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 1434768850944 in words is "one trillion, four hundred thirty-four billion, seven hundred sixty-eight million, eight hundred fifty thousand, nine hundred forty-four".