Search a number
-
+
12441398480 = 245797233983
BaseRepresentation
bin10111001011001000…
…01010110011010000
31012010001200112020022
423211210022303100
5200434444222410
65414314203012
7620211066530
oct134544126320
935101615208
1012441398480
115304932905
1224b2723468
13123373c364
148604bb4c0
154cc3b0455
hex2e590acd0

12441398480 has 160 divisors (see below), whose sum is σ = 33576850944. Its totient is φ = 4199251968.

The previous prime is 12441398471. The next prime is 12441398491. The reversal of 12441398480 is 8489314421.

It is a super-2 number, since 2×124413984802 (a number of 21 digits) contains 22 as substring.

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, 12656069 + ... + 12657051.

Almost surely, 212441398480 is an apocalyptic number.

12441398480 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 12441398480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16788425472).

12441398480 is an abundant number, since it is smaller than the sum of its proper divisors (21135452464).

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

12441398480 is a wasteful number, since it uses less digits than its factorization.

12441398480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The spelling of 12441398480 in words is "twelve billion, four hundred forty-one million, three hundred ninety-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 97 112 140 194 233 280 388 466 485 560 679 776 932 970 983 1165 1358 1552 1631 1864 1940 1966 2330 2716 3262 3395 3728 3880 3932 4660 4915 5432 6524 6790 6881 7760 7864 8155 9320 9830 10864 13048 13580 13762 15728 16310 18640 19660 22601 26096 27160 27524 32620 34405 39320 45202 54320 55048 65240 68810 78640 90404 95351 110096 113005 130480 137620 158207 180808 190702 226010 229039 275240 316414 361616 381404 452020 458078 476755 550480 632828 667457 762808 791035 904040 916156 953510 1145195 1265656 1334914 1525616 1582070 1603273 1808080 1832312 1907020 2290390 2531312 2669828 3164140 3206546 3337285 3664624 3814040 4580780 5339656 6328280 6413092 6674570 7628080 8016365 9161560 10679312 12656560 12826184 13349140 16032730 18323120 22216783 25652368 26698280 32065460 44433566 53396560 64130920 88867132 111083915 128261840 155517481 177734264 222167830 311034962 355468528 444335660 622069924 777587405 888671320 1244139848 1555174810 1777342640 2488279696 3110349620 6220699240 12441398480