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40230142254 = 232371134091307
BaseRepresentation
bin100101011101111001…
…110100000100101110
310211211201002222022200
4211131321310010232
51124342404023004
630251555322330
72622640365321
oct453571640456
9124751088280
1040230142254
1116074959355
127968bb03a6
133a41961503
141d38d987b8
1510a6ce7239
hex95de7412e

40230142254 has 96 divisors (see below), whose sum is σ = 90603433440. Its totient is φ = 12890658816.

The previous prime is 40230142243. The next prime is 40230142259. The reversal of 40230142254 is 45224103204.

40230142254 is a `hidden beast` number, since 4 + 0 + 230 + 1 + 422 + 5 + 4 = 666.

It is a super-3 number, since 3×402301422543 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40230142259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30779869 + ... + 30781175.

It is an arithmetic number, because the mean of its divisors is an integer number (943785765).

Almost surely, 240230142254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40230142254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45301716720).

40230142254 is an abundant number, since it is smaller than the sum of its proper divisors (50373291186).

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

40230142254 is a wasteful number, since it uses less digits than its factorization.

40230142254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 40230142254 its reverse (45224103204), we get a palindrome (85454245458).

The spelling of 40230142254 in words is "forty billion, two hundred thirty million, one hundred forty-two thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 18 37 74 111 113 222 226 333 339 409 666 678 818 1017 1227 1307 2034 2454 2614 3681 3921 4181 7362 7842 8362 11763 12543 15133 23526 25086 30266 37629 45399 46217 48359 75258 90798 92434 96718 136197 138651 145077 147691 272394 277302 290154 295382 415953 435231 443073 534563 831906 870462 886146 1069126 1329219 1603689 1710029 2658438 3207378 3420058 4811067 5130087 5464567 9622134 10260174 10929134 15390261 16393701 19778831 30780522 32787402 39557662 49181103 59336493 60405619 98362206 118672986 120811238 178009479 181216857 356018958 362433714 543650571 1087301142 2235007903 4470015806 6705023709 13410047418 20115071127 40230142254