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1241413200240 = 243526923518179
BaseRepresentation
bin10010000100001001111…
…111100010100101110000
311101200022012221122202120
4102010021333202211300
5130314403234401430
62350144121114240
7155455243045113
oct22041177424560
94350265848676
101241413200240
1143953142a414
12180716928980
13900ac38b115
144412868257a
152245a7c3610
hex12109fe2970

1241413200240 has 160 divisors (see below), whose sum is σ = 3864802636800. Its totient is φ = 329632281600.

The previous prime is 1241413200187. The next prime is 1241413200281. The reversal of 1241413200240 is 420023141421.

It is a super-2 number, since 2×12414132002402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1241413200240.

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, 151776471 + ... + 151784649.

It is an arithmetic number, because the mean of its divisors is an integer number (24155016480).

Almost surely, 21241413200240 is an apocalyptic number.

1241413200240 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 1241413200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932401318400).

1241413200240 is an abundant number, since it is smaller than the sum of its proper divisors (2623389436560).

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

1241413200240 is a wasteful number, since it uses less digits than its factorization.

1241413200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10815 (or 10809 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1241413200240 its reverse (420023141421), we get a palindrome (1661436341661).

The spelling of 1241413200240 in words is "one trillion, two hundred forty-one billion, four hundred thirteen million, two hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 269 538 807 1076 1345 1614 2152 2351 2690 3228 4035 4304 4702 5380 6456 7053 8070 8179 9404 10760 11755 12912 14106 16140 16358 18808 21520 23510 24537 28212 32280 32716 35265 37616 40895 47020 49074 56424 64560 65432 70530 81790 94040 98148 112848 122685 130864 141060 163580 188080 196296 245370 282120 327160 392592 490740 564240 632419 654320 981480 1264838 1897257 1962960 2200151 2529676 3162095 3794514 4400302 5059352 6324190 6600453 7589028 8800604 9486285 10118704 11000755 12648380 13200906 15178056 17601208 18972570 19228829 22001510 25296760 26401812 30356112 33002265 35202416 37945140 38457658 44003020 50593520 52803624 57686487 66004530 75890280 76915316 88006040 96144145 105607248 115372974 132009060 151780560 153830632 176012080 192288290 230745948 264018120 288432435 307661264 384576580 461491896 528036240 576864870 769153160 922983792 1153729740 1538306320 2307459480 4614918960 5172555001 10345110002 15517665003 20690220004 25862775005 31035330006 41380440008 51725550010 62070660012 77588325015 82760880016 103451100020 124141320024 155176650030 206902200040 248282640048 310353300060 413804400080 620706600120 1241413200240