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23114323140040 = 235111911092493121
BaseRepresentation
bin1010100000101101110010…
…00001010001110111001000
310000211201002220220000201201
411100112321001101313020
511012201113210440130
6121054323511153544
74603645321650166
oct520267101216710
9100751086800651
1023114323140040
117401802906a30
1227138640758b4
13cb8895b72762
1459ca4c566236
152a13caec7bca
hex1505b9051dc8

23114323140040 has 128 divisors (see below), whose sum is σ = 59775093072000. Its totient is φ = 7955645644800.

The previous prime is 23114323140001. The next prime is 23114323140089. The reversal of 23114323140040 is 4004132341132.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23114323139990 and 23114323140008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8024680 + ... + 10517800.

It is an arithmetic number, because the mean of its divisors is an integer number (466992914625).

Almost surely, 223114323140040 is an apocalyptic number.

23114323140040 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 23114323140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29887546536000).

23114323140040 is an abundant number, since it is smaller than the sum of its proper divisors (36660769931960).

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

23114323140040 is a wasteful number, since it uses less digits than its factorization.

23114323140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494271 (or 2494267 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 23114323140040 its reverse (4004132341132), we get a palindrome (27118455481172).

The spelling of 23114323140040 in words is "twenty-three trillion, one hundred fourteen billion, three hundred twenty-three million, one hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1109 1672 2090 2218 4180 4436 5545 8360 8872 11090 12199 21071 22180 24398 42142 44360 48796 60995 84284 97592 105355 121990 168568 210710 231781 243980 421420 463562 487960 842840 927124 1158905 1854248 2317810 2493121 4635620 4986242 9271240 9972484 12465605 19944968 24931210 27424331 47369299 49862420 54848662 94738598 99724840 109697324 137121655 189477196 219394648 236846495 274243310 378954392 473692990 521062289 548486620 947385980 1042124578 1096973240 1894771960 2084249156 2605311445 2764871189 4168498312 5210622890 5529742378 10421245780 11059484756 13824355945 20842491560 22118969512 27648711890 30413583079 52532552591 55297423780 60827166158 105065105182 110594847560 121654332316 152067915395 210130210364 243308664632 262662762955 304135830790 420260420728 525325525910 577858078501 608271661580 1050651051820 1155716157002 1216543323160 2101302103640 2311432314004 2889290392505 4622864628008 5778580785010 11557161570020 23114323140040