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12232023440 = 2457131819283
BaseRepresentation
bin10110110010001010…
…11101110110010000
31011120110201011200012
423121011131312100
5200022344222230
65341434414052
7612056324630
oct133105356620
934513634605
1012232023440
11520772728a
122454591328
1311cc251ac0
148407786c0
154b8d03395
hex2d915dd90

12232023440 has 160 divisors (see below), whose sum is σ = 35199580416. Its totient is φ = 3849431040.

The previous prime is 12232023439. The next prime is 12232023467. The reversal of 12232023440 is 4432023221.

12232023440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 1313039 + ... + 1322321.

Almost surely, 212232023440 is an apocalyptic number.

12232023440 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 12232023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17599790208).

12232023440 is an abundant number, since it is smaller than the sum of its proper divisors (22967556976).

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

12232023440 is a wasteful number, since it uses less digits than its factorization.

12232023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9497 (or 9491 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 12232023440 its reverse (4432023221), we get a palindrome (16664046661).

The spelling of 12232023440 in words is "twelve billion, two hundred thirty-two million, twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 181 182 208 260 280 362 364 455 520 560 724 728 905 910 1040 1267 1448 1456 1810 1820 2353 2534 2896 3620 3640 4706 5068 6335 7240 7280 9283 9412 10136 11765 12670 14480 16471 18566 18824 20272 23530 25340 32942 37132 37648 46415 47060 50680 64981 65884 74264 82355 92830 94120 101360 120679 129962 131768 148528 164710 185660 188240 241358 259924 263536 324905 329420 371320 482716 519848 603395 649810 658840 742640 844753 965432 1039696 1206790 1299620 1317680 1680223 1689506 1930864 2413580 2599240 3360446 3379012 4223765 4827160 5198480 6720892 6758024 8401115 8447530 9654320 11761561 13441784 13516048 16802230 16895060 21842899 23523122 26883568 33604460 33790120 43685798 47046244 58807805 67208920 67580240 87371596 94092488 109214495 117615610 134417840 152900293 174743192 188184976 218428990 235231220 305800586 349486384 436857980 470462440 611601172 764501465 873715960 940924880 1223202344 1529002930 1747431920 2446404688 3058005860 6116011720 12232023440