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123310421403440 = 24571433361313877
BaseRepresentation
bin11100000010011001110001…
…110111010110011100110000
3121011121100202021200111002212
4130002121301313112130300
5112130304220334402230
61114132005304231252
734654612123633205
oct3402316167263460
9534540667614085
10123310421403440
11363217242058a7
12119b647676b528
1353a6179b6c38b
1422643831a3cac
15e3c8c1406895
hex702671dd6730

123310421403440 has 160 divisors (see below), whose sum is σ = 291507814555776. Its totient is φ = 48500229980160.

The previous prime is 123310421403361. The next prime is 123310421403473. The reversal of 123310421403440 is 44304124013321.

It is a junction number, because it is equal to n+sod(n) for n = 123310421403397 and 123310421403406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8885949782 + ... + 8885963658.

Almost surely, 2123310421403440 is an apocalyptic number.

123310421403440 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 123310421403440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145753907277888).

123310421403440 is an abundant number, since it is smaller than the sum of its proper divisors (168197393152336).

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

123310421403440 is a wasteful number, since it uses less digits than its factorization.

123310421403440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18007 (or 18001 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 123310421403440 its reverse (44304124013321), we get a palindrome (167614545416761).

The spelling of 123310421403440 in words is "one hundred twenty-three trillion, three hundred ten billion, four hundred twenty-one million, four hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 433 568 710 866 1136 1420 1732 2165 2840 3464 3613 4330 5680 6928 7226 8660 13877 14452 17320 18065 27754 28904 30743 34640 36130 55508 57808 61486 69385 72260 111016 122972 138770 144520 153715 222032 245944 256523 277540 289040 307430 491888 513046 555080 614860 985267 1026092 1110160 1229720 1282615 1564429 1970534 2052184 2459440 2565230 3128858 3941068 4104368 4926335 5130460 6008741 6257716 7822145 7882136 9852670 10260920 12017482 12515432 15644290 15764272 19705340 20521840 24034964 25030864 30043705 31288580 39410680 48069928 50137601 60087410 62577160 78821360 96139856 100275202 111074459 120174820 125154320 200550404 222148918 240349640 250688005 401100808 426620611 444297836 480699280 501376010 555372295 802201616 853241222 888595672 1002752020 1110744590 1706482444 1777191344 2005504040 2133103055 2221489180 3412964888 3559769671 4011008080 4266206110 4442978360 6825929776 7119539342 8532412220 8885956720 14239078684 17064824440 17798848355 21709581233 28478157368 34129648880 35597696710 43419162466 56956314736 71195393420 86838324932 108547906165 142390786840 173676649864 217095812330 284781573680 347353299728 434191624660 868383249320 1541380267543 1736766498640 3082760535086 6165521070172 7706901337715 12331042140344 15413802675430 24662084280688 30827605350860 61655210701720 123310421403440