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1427340255520 = 25573229533641
BaseRepresentation
bin10100110001010100000…
…110111110000100100000
312001110012210111200100011
4110301110012332010200
5141341143101134040
63011413331134304
7205056551663554
oct24612406760440
95043183450304
101427340255520
115003713aa993
121b0765444394
13a479cc3b46a
144d1256dd864
15271dd5063ea
hex14c541be120

1427340255520 has 96 divisors (see below), whose sum is σ = 3433217825520. Its totient is φ = 560654991360.

The previous prime is 1427340255511. The next prime is 1427340255527. The reversal of 1427340255520 is 255520437241.

It can be written as a sum of positive squares in 8 ways, for example, as 1168621536784 + 258718718736 = 1081028^2 + 508644^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1427340255527) 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, 2407900 + ... + 2941540.

Almost surely, 21427340255520 is an apocalyptic number.

1427340255520 is a gapful number since it is divisible by the number (10) 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 1427340255520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716608912760).

1427340255520 is an abundant number, since it is smaller than the sum of its proper divisors (2005877570000).

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

1427340255520 is a wasteful number, since it uses less digits than its factorization.

1427340255520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533958 (or 533950 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 40.

The spelling of 1427340255520 in words is "one trillion, four hundred twenty-seven billion, three hundred forty million, two hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 229 292 365 458 584 730 916 1145 1168 1460 1832 2290 2336 2920 3664 4580 5840 7328 9160 11680 16717 18320 33434 36640 66868 83585 133736 167170 267472 334340 533641 534944 668680 1067282 1337360 2134564 2668205 2674720 4269128 5336410 8538256 10672820 17076512 21345640 38955793 42691280 77911586 85382560 122203789 155823172 194778965 244407578 311646344 389557930 488815156 611018945 623292688 779115860 977630312 1222037890 1246585376 1558231720 1955260624 2444075780 3116463440 3910521248 4888151560 6232926880 8920876597 9776303120 17841753194 19552606240 35683506388 44604382985 71367012776 89208765970 142734025552 178417531940 285468051104 356835063880 713670127760 1427340255520