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23402405140 = 2254371487787
BaseRepresentation
bin10101110010111001…
…000101110100010100
32020101221202100122221
4111302321011310110
5340412003431030
614430110432124
71455635106262
oct256271056424
966357670587
1023402405140
119a1a0583a4
124651502644
13228c56340a
1411c011b432
1591e7eae7a
hex572e45d14

23402405140 has 96 divisors (see below), whose sum is σ = 51165886464. Its totient is φ = 8984545920.

The previous prime is 23402405087. The next prime is 23402405141. The reversal of 23402405140 is 4150420432.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23402405141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29735827 + ... + 29736613.

It is an arithmetic number, because the mean of its divisors is an integer number (532977984).

Almost surely, 223402405140 is an apocalyptic number.

23402405140 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 23402405140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25582943232).

23402405140 is an abundant number, since it is smaller than the sum of its proper divisors (27763481324).

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

23402405140 is a wasteful number, since it uses less digits than its factorization.

23402405140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 23402405140 its reverse (4150420432), we get a palindrome (27552825572).

The spelling of 23402405140 in words is "twenty-three billion, four hundred two million, four hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 71 86 142 172 215 284 355 430 487 710 787 860 974 1420 1574 1948 2435 3053 3148 3935 4870 6106 7870 9740 12212 15265 15740 20941 30530 33841 34577 41882 55877 61060 67682 69154 83764 104705 111754 135364 138308 169205 172885 209410 223508 279385 338410 345770 383269 418820 558770 676820 691540 766538 1117540 1486811 1533076 1916345 2402711 2973622 3832690 4805422 5947244 7434055 7665380 9610844 12013555 14868110 16480567 24027110 27212099 29736220 32961134 48054220 54424198 65922268 82402835 108848396 136060495 164805670 272120990 329611340 544241980 1170120257 2340240514 4680481028 5850601285 11701202570 23402405140