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1400234402214 = 2321723241825533
BaseRepresentation
bin10100011000000100011…
…110010110000110100110
311221212020202001122212100
4110120010132112012212
5140420140001332324
62551131522432530
7203110054016304
oct24300436260646
94855222048770
101400234402214
1149a9218a812a
121a745b802746
13a2070347acb
144bab37c5274
1526653a124c9
hex146047961a6

1400234402214 has 96 divisors (see below), whose sum is σ = 3365880433344. Its totient is φ = 418445660160.

The previous prime is 1400234402183. The next prime is 1400234402233. The reversal of 1400234402214 is 4122044320041.

1400234402214 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 2 + 3 + 440 + 2 + 214 = 666.

It is a super-2 number, since 2×14002344022142 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1283392 + ... + 2108924.

It is an arithmetic number, because the mean of its divisors is an integer number (35061254514).

Almost surely, 21400234402214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400234402214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682940216672).

1400234402214 is an abundant number, since it is smaller than the sum of its proper divisors (1965646031130).

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

1400234402214 is a wasteful number, since it uses less digits than its factorization.

1400234402214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825822 (or 825819 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1400234402214 its reverse (4122044320041), we get a palindrome (5522278722255).

The spelling of 1400234402214 in words is "one trillion, four hundred billion, two hundred thirty-four million, four hundred two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 241 306 391 414 482 723 782 1173 1446 2169 2346 3519 4097 4338 5543 7038 8194 11086 12291 16629 24582 33258 36873 49887 73746 94231 99774 188462 282693 565386 825533 848079 1651066 1696158 2476599 4953198 7429797 14034061 14859594 18987259 28068122 37974518 42102183 56961777 84204366 113923554 126306549 170885331 198953453 252613098 322783403 341770662 397906906 596860359 645566806 968350209 1193720718 1790581077 1936700418 2905050627 3382208701 3581162154 4575929419 5810101254 6764417402 9151858838 10146626103 13727788257 20293252206 27455576514 30439878309 41183364771 60879756618 77790800123 82366729542 155581600246 233372400369 466744800738 700117201107 1400234402214