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1400221140 = 2235231039851
BaseRepresentation
bin101001101110101…
…1010110111010100
310121120202121022020
41103131122313110
510331424034030
6350535333140
746461453243
oct12335326724
93546677266
101400221140
1165942a95a
12330b211b0
13194128326
14d3d6c95a
1582dda510
hex5375add4

1400221140 has 96 divisors (see below), whose sum is σ = 4131219456. Its totient is φ = 353654400.

The previous prime is 1400221139. The next prime is 1400221157. The reversal of 1400221140 is 411220041.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137215 + ... + 147065.

It is an arithmetic number, because the mean of its divisors is an integer number (43033536).

Almost surely, 21400221140 is an apocalyptic number.

1400221140 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 1400221140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065609728).

1400221140 is an abundant number, since it is smaller than the sum of its proper divisors (2730998316).

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

1400221140 is a wasteful number, since it uses less digits than its factorization.

1400221140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9989 (or 9987 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1400221140 is about 37419.5288586054. The cubic root of 1400221140 is about 1118.7478406167.

Adding to 1400221140 its reverse (411220041), we get a palindrome (1811441181).

The spelling of 1400221140 in words is "one billion, four hundred million, two hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 103 115 138 206 230 276 309 345 412 460 515 618 690 1030 1236 1380 1545 2060 2369 3090 4738 6180 7107 9476 9851 11845 14214 19702 23690 28428 29553 35535 39404 47380 49255 59106 71070 98510 118212 142140 147765 197020 226573 295530 453146 591060 679719 906292 1014653 1132865 1359438 2029306 2265730 2718876 3043959 3398595 4058612 4531460 5073265 6087918 6797190 10146530 12175836 13594380 15219795 20293060 23337019 30439590 46674038 60879180 70011057 93348076 116685095 140022114 233370190 280044228 350055285 466740380 700110570 1400221140