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1425220104400 = 2452149177713457
BaseRepresentation
bin10100101111010101101…
…111001111000011010000
312001020202001001211202121
4110233111233033003100
5141322322321320100
63010423113024024
7204653166001141
oct24572557170320
95036661054677
101425220104400
114aa483658a84
121b02733b5014
13a4522916481
144cda3cc9ac8
152711730d51a
hex14bd5bcf0d0

1425220104400 has 120 divisors (see below), whose sum is σ = 3449267904600. Its totient is φ = 565901230080.

The previous prime is 1425220104367. The next prime is 1425220104421. The reversal of 1425220104400 is 44010225241.

It can be written as a sum of positive squares in 12 ways, for example, as 181745331856 + 1243474772544 = 426316^2 + 1115112^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105902472 + ... + 105915928.

It is an arithmetic number, because the mean of its divisors is an integer number (28743899205).

Almost surely, 21425220104400 is an apocalyptic number.

1425220104400 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 1425220104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724633952300).

1425220104400 is an abundant number, since it is smaller than the sum of its proper divisors (2024047800200).

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

1425220104400 is a wasteful number, since it uses less digits than its factorization.

1425220104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15401 (or 15390 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 1425220104400 its reverse (44010225241), we get a palindrome (1469230329641).

The spelling of 1425220104400 in words is "one trillion, four hundred twenty-five billion, two hundred twenty million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 149 200 298 400 596 745 1192 1490 1777 2384 2980 3554 3725 5960 7108 7450 8885 11920 13457 14216 14900 17770 26914 28432 29800 35540 44425 53828 59600 67285 71080 88850 107656 134570 142160 177700 215312 264773 269140 336425 355400 529546 538280 672850 710800 1059092 1076560 1323865 1345700 2005093 2118184 2647730 2691400 4010186 4236368 5295460 5382800 6619325 8020372 10025465 10590920 13238650 16040744 20050930 21181840 23913089 26477300 32081488 40101860 47826178 50127325 52954600 80203720 95652356 100254650 105909200 119565445 160407440 191304712 200509300 239130890 382609424 401018600 478261780 597827225 802037200 956523560 1195654450 1913047120 2391308900 3563050261 4782617800 7126100522 9565235600 14252201044 17815251305 28504402088 35630502610 57008804176 71261005220 89076256525 142522010440 178152513050 285044020880 356305026100 712610052200 1425220104400