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23142432440 = 23519178917021
BaseRepresentation
bin10101100011011001…
…010111111010111000
32012201211120101011102
4111203121113322320
5334343430314230
614344222350532
71446330300341
oct254331277270
965654511142
1023142432440
1198a6333026
12459a42b448
13224a73b70a
1411977a70c8
15906a97045
hex563657eb8

23142432440 has 64 divisors (see below), whose sum is σ = 54844884000. Its totient is φ = 8764346880.

The previous prime is 23142432437. The next prime is 23142432473. The reversal of 23142432440 is 4423424132.

It is a super-3 number, since 3×231424324403 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1351130 + ... + 1368150.

Almost surely, 223142432440 is an apocalyptic number.

23142432440 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 23142432440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27422442000).

23142432440 is an abundant number, since it is smaller than the sum of its proper divisors (31702451560).

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

23142432440 is a wasteful number, since it uses less digits than its factorization.

23142432440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18840 (or 18836 counting only the distinct ones).

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

Adding to 23142432440 its reverse (4423424132), we get a palindrome (27565856572).

The spelling of 23142432440 in words is "twenty-three billion, one hundred forty-two million, four hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1789 3578 7156 8945 14312 17021 17890 33991 34042 35780 67982 68084 71560 85105 135964 136168 169955 170210 271928 323399 339910 340420 646798 679820 680840 1293596 1359640 1616995 2587192 3233990 6467980 12935960 30450569 60901138 121802276 152252845 243604552 304505690 578560811 609011380 1157121622 1218022760 2314243244 2892804055 4628486488 5785608110 11571216220 23142432440