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123140321303440 = 24573133701189823
BaseRepresentation
bin11011111111111011010111…
…000110111101101110010000
3121011000002200201100002121011
4123333323113012331232100
5112120012334223202230
61113521514352540304
734636410645635260
oct3377732706755620
9534002621302534
10123140321303440
1136266576129061
1211989504551694
13539310c26812c
14225a0481117a0
15e38267dd6e2a
hex6ffed71bdb90

123140321303440 has 160 divisors (see below), whose sum is σ = 328337218215936. Its totient is φ = 42073059225600.

The previous prime is 123140321303437. The next prime is 123140321303459. The reversal of 123140321303440 is 44303123041321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 648616369 + ... + 648806191.

Almost surely, 2123140321303440 is an apocalyptic number.

123140321303440 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 123140321303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164168609107968).

123140321303440 is an abundant number, since it is smaller than the sum of its proper divisors (205196896912496).

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

123140321303440 is a wasteful number, since it uses less digits than its factorization.

123140321303440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193857 (or 193851 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 123140321303440 its reverse (44303123041321), we get a palindrome (167443444344761).

The spelling of 123140321303440 in words is "one hundred twenty-three trillion, one hundred forty billion, three hundred twenty-one million, three hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 313 560 626 1252 1565 2191 2504 3130 3701 4382 5008 6260 7402 8764 10955 12520 14804 17528 18505 21910 25040 25907 29608 35056 37010 43820 51814 59216 74020 87640 103628 129535 148040 175280 189823 207256 259070 296080 379646 414512 518140 759292 949115 1036280 1158413 1328761 1518584 1898230 2072560 2316826 2657522 3037168 3796460 4633652 5315044 5792065 6643805 7592920 8108891 9267304 10630088 11584130 13287610 15185840 16217782 18534608 21260176 23168260 26575220 32435564 40544455 46336520 53150440 59414599 64871128 81088910 92673040 106300880 118829198 129742256 162177820 237658396 297072995 324355640 415902193 475316792 594145990 648711280 702534923 831804386 950633584 1188291980 1405069846 1663608772 2079510965 2376583960 2810139692 3327217544 3512674615 4159021930 4753167920 4917744461 5620279384 6654435088 7025349230 8318043860 9835488922 11240558768 14050698460 16636087720 19670977844 24588722305 28101396920 33272175440 39341955688 49177444610 56202793840 78683911376 98354889220 196709778440 219893430899 393419556880 439786861798 879573723596 1099467154495 1539254016293 1759147447192 2198934308990 3078508032586 3518294894384 4397868617980 6157016065172 7696270081465 8795737235960 12314032130344 15392540162930 17591474471920 24628064260688 30785080325860 61570160651720 123140321303440