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123234340240 = 24511472129663
BaseRepresentation
bin111001011000101010…
…1101100110110010000
3102210002102011010012201
41302301111230312100
54004340442341430
6132340231332544
711621601415534
oct1626125546620
9383072133181
10123234340240
1148299632890
121ba72b21154
13b80c2ba56b
145d70b0dbc4
153313dd88ca
hex1cb156cd90

123234340240 has 80 divisors (see below), whose sum is σ = 312643846656. Its totient is φ = 44801484800.

The previous prime is 123234340213. The next prime is 123234340249. The reversal of 123234340240 is 42043432321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1232343402402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123234340199 and 123234340208.

It is not an unprimeable number, because it can be changed into a prime (123234340249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4139649 + ... + 4169311.

Almost surely, 2123234340240 is an apocalyptic number.

123234340240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123234340240 is an abundant number, since it is smaller than the sum of its proper divisors (189409506416).

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

123234340240 is a wasteful number, since it uses less digits than its factorization.

123234340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34408 (or 34402 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 123234340240 its reverse (42043432321), we get a palindrome (165277772561).

The spelling of 123234340240 in words is "one hundred twenty-three billion, two hundred thirty-four million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 4721 9442 18884 23605 29663 37768 47210 51931 59326 75536 94420 103862 118652 148315 188840 207724 237304 259655 296630 326293 377680 415448 474608 519310 593260 652586 830896 1038620 1186520 1305172 1631465 2077240 2373040 2610344 3262930 4154480 5220688 6525860 13051720 26103440 140039023 280078046 560156092 700195115 1120312184 1400390230 1540429253 2240624368 2800780460 3080858506 5601560920 6161717012 7702146265 11203121840 12323434024 15404292530 24646868048 30808585060 61617170120 123234340240