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1240114013244 = 22321722928373119
BaseRepresentation
bin10010000010111100100…
…011100010010000111100
311101112221200022010020200
4102002330203202100330
5130304223141410434
62345411151043500
7155411116121661
oct22027443422074
94345850263220
101240114013244
11438a25037a57
12180413810590
138cc33179212
1444043cd3a68
15223d16e4199
hex120bc8e243c

1240114013244 has 144 divisors (see below), whose sum is σ = 3335866934400. Its totient is φ = 387095758848.

The previous prime is 1240114013219. The next prime is 1240114013251. The reversal of 1240114013244 is 4423104110421.

1240114013244 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 11 + 401 + 3 + 244 = 666.

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, 397598317 + ... + 397601435.

It is an arithmetic number, because the mean of its divisors is an integer number (23165742600).

Almost surely, 21240114013244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1240114013244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667933467200).

1240114013244 is an abundant number, since it is smaller than the sum of its proper divisors (2095752921156).

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

1240114013244 is a wasteful number, since it uses less digits than its factorization.

1240114013244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6212 (or 6207 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1240114013244 its reverse (4423104110421), we get a palindrome (5663218123665).

The spelling of 1240114013244 in words is "one trillion, two hundred forty billion, one hundred fourteen million, thirteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 229 306 458 612 687 916 1374 2061 2748 2837 3119 3893 4122 5674 6238 7786 8244 8511 9357 11348 11679 12476 15572 17022 18714 23358 25533 28071 34044 35037 37428 46716 48229 51066 53023 56142 70074 96458 102132 106046 112284 140148 144687 159069 192916 212092 289374 318138 434061 477207 578748 636276 649673 714251 868122 954414 1299346 1428502 1736244 1908828 1949019 2142753 2598692 2857004 3898038 4285506 5847057 6428259 7796076 8571012 8848603 11044441 11694114 12142267 12856518 17697206 22088882 23388228 24284534 25713036 26545809 33133323 35394412 36426801 44177764 48569068 53091618 66266646 72853602 79637427 99399969 106183236 109280403 132533292 145707204 150426251 159274854 198799938 218560806 300852502 318549708 397599876 437121612 451278753 601705004 902557506 1353836259 1805115012 2026330087 2707672518 4052660174 5415345036 6078990261 8105320348 12157980522 18236970783 24315961044 34447611479 36473941566 68895222958 72947883132 103342834437 137790445916 206685668874 310028503311 413371337748 620057006622 1240114013244