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426914801440 = 2559740168597
BaseRepresentation
bin1100011011001100001…
…10101110011100100000
31111210221102111221120121
412031212012232130200
523443310142121230
6524042201450024
742562226636611
oct6154606563440
91453842457517
10426914801440
11155065304056
126a8a4aa0914
133134778b55a
141693c987c08
15b18974e77a
hex63661ae720

426914801440 has 96 divisors (see below), whose sum is σ = 1021540013424. Its totient is φ = 168581529600.

The previous prime is 426914801437. The next prime is 426914801441. The reversal of 426914801440 is 44108419624.

It can be written as a sum of positive squares in 8 ways, for example, as 223906883344 + 203007918096 = 473188^2 + 450564^2 .

It is not an unprimeable number, because it can be changed into a prime (426914801441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6189222 + ... + 6257818.

Almost surely, 2426914801440 is an apocalyptic number.

426914801440 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 426914801440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510770006712).

426914801440 is an abundant number, since it is smaller than the sum of its proper divisors (594625211984).

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

426914801440 is a wasteful number, since it uses less digits than its factorization.

426914801440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69110 (or 69102 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 426914801440 in words is "four hundred twenty-six billion, nine hundred fourteen million, eight hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 160 194 388 401 485 776 802 970 1552 1604 1940 2005 3104 3208 3880 4010 6416 7760 8020 12832 15520 16040 32080 38897 64160 68597 77794 137194 155588 194485 274388 311176 342985 388970 548776 622352 685970 777940 1097552 1244704 1371940 1555880 2195104 2743880 3111760 5487760 6223520 6653909 10975520 13307818 26615636 27507397 33269545 53231272 55014794 66539090 106462544 110029588 133078180 137536985 212925088 220059176 266156360 275073970 440118352 532312720 550147940 880236704 1064625440 1100295880 2200591760 2668217509 4401183520 5336435018 10672870036 13341087545 21345740072 26682175090 42691480144 53364350180 85382960288 106728700360 213457400720 426914801440