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25432342140 = 22351494795939
BaseRepresentation
bin10111101011111000…
…101011111001111100
32102122102102211201210
4113223320223321330
5404041134422030
615403343204420
71560144225042
oct275370537174
972572384653
1025432342140
11a870992087
124b192a6710
132523c8cb7a
14133396a392
159dcb23bb0
hex5ebe2be7c

25432342140 has 96 divisors (see below), whose sum is σ = 71850240000. Its totient is φ = 6721245952.

The previous prime is 25432342121. The next prime is 25432342141. The reversal of 25432342140 is 4124323452.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 25432342098 and 25432342107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25432342141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4279291 + ... + 4285229.

It is an arithmetic number, because the mean of its divisors is an integer number (748440000).

Almost surely, 225432342140 is an apocalyptic number.

25432342140 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 25432342140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35925120000).

25432342140 is an abundant number, since it is smaller than the sum of its proper divisors (46417897860).

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

25432342140 is a wasteful number, since it uses less digits than its factorization.

25432342140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6579 (or 6577 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 25432342140 its reverse (4124323452), we get a palindrome (29556665592).

The spelling of 25432342140 in words is "twenty-five billion, four hundred thirty-two million, three hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 479 596 745 894 958 1437 1490 1788 1916 2235 2395 2874 2980 4470 4790 5748 5939 7185 8940 9580 11878 14370 17817 23756 28740 29695 35634 59390 71268 71371 89085 118780 142742 178170 214113 285484 356340 356855 428226 713710 856452 884911 1070565 1427420 1769822 2141130 2654733 2844781 3539644 4282260 4424555 5309466 5689562 8534343 8849110 10618932 11379124 13273665 14223905 17068686 17698220 26547330 28447810 34137372 42671715 53094660 56895620 85343430 170686860 423872369 847744738 1271617107 1695489476 2119361845 2543234214 4238723690 5086468428 6358085535 8477447380 12716171070 25432342140