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12400434432 = 283212742379
BaseRepresentation
bin10111000110001111…
…11001110100000000
31012000012121100010100
423203013321310000
5200344002400212
65410252202400
7616202645031
oct134307716400
935005540110
1012400434432
1152937a3a21
1224a0a69400
1312280c8a89
14858c96a88
154c89bcbdc
hex2e31f9d00

12400434432 has 108 divisors (see below), whose sum is σ = 36035883520. Its totient is φ = 4100834304.

The previous prime is 12400434419. The next prime is 12400434439. The reversal of 12400434432 is 23443400421.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12400434396 and 12400434405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12400434439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271419 + ... + 313797.

Almost surely, 212400434432 is an apocalyptic number.

12400434432 is a gapful number since it is divisible by the number (12) 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 12400434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18017941760).

12400434432 is an abundant number, since it is smaller than the sum of its proper divisors (23635449088).

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

12400434432 is a wasteful number, since it uses less digits than its factorization.

12400434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42528 (or 42511 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 12400434432 its reverse (23443400421), we get a palindrome (35843834853).

The spelling of 12400434432 in words is "twelve billion, four hundred million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 256 288 381 384 508 576 762 768 1016 1143 1152 1524 2032 2286 2304 3048 4064 4572 6096 8128 9144 12192 16256 18288 24384 32512 36576 42379 48768 73152 84758 97536 127137 146304 169516 254274 292608 339032 381411 508548 678064 762822 1017096 1356128 1525644 2034192 2712256 3051288 4068384 5382133 5424512 6102576 8136768 10764266 10849024 12205152 16146399 16273536 21528532 24410304 32292798 32547072 43057064 48439197 48820608 64585596 86114128 96878394 97641216 129171192 172228256 193756788 258342384 344456512 387513576 516684768 688913024 775027152 1033369536 1377826048 1550054304 2066739072 3100108608 4133478144 6200217216 12400434432