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123142106640 = 24357151485423
BaseRepresentation
bin111001010101111010…
…1110110111000010000
3102202211222121011111110
41302223311312320100
54004143334403030
6132323134413320
711616401431110
oct1625365667020
9382758534443
10123142106640
1148251566373
121ba48061240
13b7c6165a77
145d62781040
15330ac6a1b0
hex1cabd76e10

123142106640 has 160 divisors (see below), whose sum is σ = 439165034496. Its totient is φ = 27960307200.

The previous prime is 123142106639. The next prime is 123142106641. The reversal of 123142106640 is 46601241321.

It is an interprime number because it is at equal distance from previous prime (123142106639) and next prime (123142106641).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 123142106598 and 123142106607.

It is not an unprimeable number, because it can be changed into a prime (123142106641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10969 + ... + 496391.

Almost surely, 2123142106640 is an apocalyptic number.

123142106640 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 123142106640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219582517248).

123142106640 is an abundant number, since it is smaller than the sum of its proper divisors (316022927856).

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

123142106640 is a wasteful number, since it uses less digits than its factorization.

123142106640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485597 (or 485591 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 123142106640 its reverse (46601241321), we get a palindrome (169743347961).

The spelling of 123142106640 in words is "one hundred twenty-three billion, one hundred forty-two million, one hundred six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 151 168 210 240 280 302 336 420 453 560 604 755 840 906 1057 1208 1510 1680 1812 2114 2265 2416 3020 3171 3624 4228 4530 5285 6040 6342 7248 8456 9060 10570 12080 12684 15855 16912 18120 21140 25368 31710 36240 42280 50736 63420 84560 126840 253680 485423 970846 1456269 1941692 2427115 2912538 3397961 3883384 4854230 5825076 6795922 7281345 7766768 9708460 10193883 11650152 13591844 14562690 16989805 19416920 20387766 23300304 27183688 29125380 33979610 38833840 40775532 50969415 54367376 58250760 67959220 73298873 81551064 101938830 116501520 135918440 146597746 163102128 203877660 219896619 271836880 293195492 366494365 407755320 439793238 513092111 586390984 732988730 815510640 879586476 1026184222 1099483095 1172781968 1465977460 1539276333 1759172952 2052368444 2198966190 2565460555 2931954920 3078552666 3518345904 4104736888 4397932380 5130921110 5863909840 6157105332 7696381665 8209473776 8795864760 10261842220 12314210664 15392763330 17591729520 20523684440 24628421328 30785526660 41047368880 61571053320 123142106640