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12402973240 = 2357433102301
BaseRepresentation
bin10111000110100011…
…00101101000111000
31012000101101022201021
423203101211220320
5200400130120430
65410422432224
7616233350560
oct134321455070
935011338637
1012402973240
115295178409
1224a1892674
1312287a7528
14859357da0
154c8d2007a
hex2e3465a38

12402973240 has 64 divisors (see below), whose sum is σ = 31967328960. Its totient is φ = 4242585600.

The previous prime is 12402973213. The next prime is 12402973249. The reversal of 12402973240 is 4237920421.

It is a junction number, because it is equal to n+sod(n) for n = 12402973196 and 12402973205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12402973249) 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, 70090 + ... + 172390.

It is an arithmetic number, because the mean of its divisors is an integer number (499489515).

Almost surely, 212402973240 is an apocalyptic number.

12402973240 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 12402973240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15983664480).

12402973240 is an abundant number, since it is smaller than the sum of its proper divisors (19564355720).

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

12402973240 is a wasteful number, since it uses less digits than its factorization.

12402973240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102752 (or 102748 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 12402973240 in words is "twelve billion, four hundred two million, nine hundred seventy-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 433 866 1732 2165 3031 3464 4330 6062 8660 12124 15155 17320 24248 30310 60620 102301 121240 204602 409204 511505 716107 818408 1023010 1432214 2046020 2864428 3580535 4092040 5728856 7161070 14322140 28644280 44296333 88592666 177185332 221481665 310074331 354370664 442963330 620148662 885926660 1240297324 1550371655 1771853320 2480594648 3100743310 6201486620 12402973240