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14822313122040 = 23351572897271573
BaseRepresentation
bin1101011110110001011010…
…1101010101100011111000
31221110222222111010201220120
43113230112231111203320
53420322044124401130
651305135431053240
73056606510512404
oct327542655254370
957428874121816
1014822313122040
1147a5120382206
1217b47b6811220
13836979895cc8
14393591da2104
151aa868070910
hexd7b16b558f8

14822313122040 has 128 divisors (see below), whose sum is σ = 44765780189760. Its totient is φ = 3926070779904.

The previous prime is 14822313122033. The next prime is 14822313122051. The reversal of 14822313122040 is 4022131322841.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14822313121992 and 14822313122010.

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, 54443694 + ... + 54715266.

Almost surely, 214822313122040 is an apocalyptic number.

14822313122040 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 14822313122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22382890094880).

14822313122040 is an abundant number, since it is smaller than the sum of its proper divisors (29943467067720).

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

14822313122040 is a wasteful number, since it uses less digits than its factorization.

14822313122040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274641 (or 274637 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 14822313122040 its reverse (4022131322841), we get a palindrome (18844444444881).

The spelling of 14822313122040 in words is "fourteen trillion, eight hundred twenty-two billion, three hundred thirteen million, one hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 471 628 785 942 1256 1570 1884 2355 2897 3140 3768 4710 5794 6280 8691 9420 11588 14485 17382 18840 23176 28970 34764 43455 57940 69528 86910 115880 173820 271573 347640 454829 543146 814719 909658 1086292 1357865 1364487 1629438 1819316 2172584 2274145 2715730 2728974 3258876 3638632 4073595 4548290 5431460 5457948 6517752 6822435 8147190 9096580 10862920 10915896 13644870 16294380 18193160 27289740 32588760 42636961 54579480 85273922 127910883 170547844 213184805 255821766 341095688 426369610 511643532 639554415 786746981 852739220 1023287064 1279108830 1573493962 1705478440 2360240943 2558217660 3146987924 3933734905 4720481886 5116435320 6293975848 7867469810 9440963772 11801204715 15734939620 18881927544 23602409430 31469879240 47204818860 94409637720 123519276017 247038552034 370557828051 494077104068 617596380085 741115656102 988154208136 1235192760170 1482231312204 1852789140255 2470385520340 2964462624408 3705578280510 4940771040680 7411156561020 14822313122040