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23432414240 = 2551913756263
BaseRepresentation
bin10101110100101011…
…100100010000100000
32020111001012222102002
4111310223210100200
5340442144223430
614433101543132
71456451143334
oct256453442040
966431188362
1023432414240
119a34a94704
12465b574aa8
13229583c591
1411c40cd7c4
15922277845
hex574ae4420

23432414240 has 96 divisors (see below), whose sum is σ = 58699105920. Its totient is φ = 8814680064.

The previous prime is 23432414233. The next prime is 23432414249. The reversal of 23432414240 is 4241423432.

It is a super-2 number, since 2×234324142402 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23432414249) 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, 388349 + ... + 444611.

It is an arithmetic number, because the mean of its divisors is an integer number (611449020).

Almost surely, 223432414240 is an apocalyptic number.

23432414240 is a gapful number since it is divisible by the number (20) 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 23432414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29349552960).

23432414240 is an abundant number, since it is smaller than the sum of its proper divisors (35266691680).

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

23432414240 is a wasteful number, since it uses less digits than its factorization.

23432414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56434 (or 56426 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 23432414240 its reverse (4241423432), we get a palindrome (27673837672).

The spelling of 23432414240 in words is "twenty-three billion, four hundred thirty-two million, four hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 137 152 160 190 274 304 380 548 608 685 760 1096 1370 1520 2192 2603 2740 3040 4384 5206 5480 10412 10960 13015 20824 21920 26030 41648 52060 56263 83296 104120 112526 208240 225052 281315 416480 450104 562630 900208 1068997 1125260 1800416 2137994 2250520 4275988 4501040 5344985 7708031 8551976 9002080 10689970 15416062 17103952 21379940 30832124 34207904 38540155 42759880 61664248 77080310 85519760 123328496 146452589 154160620 171039520 246656992 292905178 308321240 585810356 616642480 732262945 1171620712 1233284960 1464525890 2343241424 2929051780 4686482848 5858103560 11716207120 23432414240