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1401441132 = 2237134432897
BaseRepresentation
bin101001110001000…
…0100101101101100
310121200001120211010
41103202010231230
510332232104012
6351021425220
746505024130
oct12342045554
93550046733
101401441132
1165a093513
1233140b210
13194464710
14d41a93c0
158307bc3c
hex53884b6c

1401441132 has 96 divisors (see below), whose sum is σ = 4035128832. Its totient is φ = 368649216.

The previous prime is 1401441113. The next prime is 1401441157. The reversal of 1401441132 is 2311441041.

It is a super-2 number, since 2×14014411322 = 3928074492922882848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1401441099 and 1401441108.

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, 482308 + ... + 485204.

It is an arithmetic number, because the mean of its divisors is an integer number (42032592).

Almost surely, 21401441132 is an apocalyptic number.

1401441132 is a gapful number since it is divisible by the number (12) 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 1401441132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017564416).

1401441132 is an abundant number, since it is smaller than the sum of its proper divisors (2633687700).

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

1401441132 is a wasteful number, since it uses less digits than its factorization.

1401441132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3367 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1401441132 is about 37435.8268507589. The cubic root of 1401441132 is about 1119.0726624545.

Adding to 1401441132 its reverse (2311441041), we get a palindrome (3712882173).

Subtracting 1401441132 from its reverse (2311441041), we obtain a palindrome (909999909).

The spelling of 1401441132 in words is "one billion, four hundred one million, four hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 443 546 886 1092 1329 1772 2658 2897 3101 5316 5759 5794 6202 8691 9303 11518 11588 12404 17277 17382 18606 20279 23036 34554 34764 37212 37661 40313 40558 60837 69108 75322 80626 81116 112983 120939 121674 150644 161252 225966 241878 243348 263627 451932 483756 527254 790881 1054508 1283371 1581762 2566742 3163524 3850113 5133484 7700226 8983597 15400452 16683823 17967194 26950791 33367646 35934388 50051469 53901582 66735292 100102938 107803164 116786761 200205876 233573522 350360283 467147044 700720566 1401441132