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23420441121440 = 2551121329191019
BaseRepresentation
bin1010101001100111111110…
…00100101101001010100000
310001220222020210212201012112
411110303333010231022200
511032210030411341230
6121451111354014452
74635033235604156
oct524637704551240
9101828223781175
1023420441121440
11750a60a497200
122763056417428
13100b6cc3382ac
145ad7ac0293d6
152a9345826d95
hex154cff12d2a0

23420441121440 has 144 divisors (see below), whose sum is σ = 60823387568160. Its totient is φ = 8515789708800.

The previous prime is 23420441121409. The next prime is 23420441121487. The reversal of 23420441121440 is 4412114402432.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 23420441121397 and 23420441121406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257268251 + ... + 257359269.

It is an arithmetic number, because the mean of its divisors is an integer number (422384635890).

Almost surely, 223420441121440 is an apocalyptic number.

23420441121440 is a gapful number since it is divisible by the number (20) 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 23420441121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30411693784080).

23420441121440 is an abundant number, since it is smaller than the sum of its proper divisors (37402946446720).

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

23420441121440 is a wasteful number, since it uses less digits than its factorization.

23420441121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104347 (or 104328 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 23420441121440 its reverse (4412114402432), we get a palindrome (27832555523872).

The spelling of 23420441121440 in words is "twenty-three trillion, four hundred twenty billion, four hundred forty-one million, one hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2420 3872 4840 9680 13291 19360 26582 53164 66455 91019 106328 132910 146201 182038 212656 265820 292402 364076 425312 455095 531640 584804 728152 731005 910190 1001209 1063280 1169608 1456304 1462010 1608211 1820380 2002418 2126560 2339216 2912608 2924020 3216422 3640760 4004836 4678432 5006045 5848040 6432844 7281520 8009672 8041055 10012090 11013299 11696080 12865688 14563040 16019344 16082110 20024180 22026598 23392160 25731376 32038688 32164220 40048360 44053196 51462752 55066495 64328440 80096720 88106392 110132990 128656880 160193440 176212784 220265980 257313760 352425568 440531960 881063920 1209733529 1762127840 2419467058 4838934116 6048667645 9677868232 12097335290 13307068819 19355736464 24194670580 26614137638 38711472928 48389341160 53228275276 66535344095 96778682320 106456550552 133070688190 146377757009 193557364640 212913101104 266141376380 292755514018 425826202208 532282752760 585511028036 731888785045 1064565505520 1171022056072 1463777570090 2129131011040 2342044112144 2927555140180 4684088224288 5855110280360 11710220560720 23420441121440