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4004212322032 = 2413177431524109
BaseRepresentation
bin111010010001001101101…
…001110010111011110000
3112011210120102220211110021
4322101031221302323300
51011101111323301112
612303302034413224
7562203054104266
oct72211551627360
915153512824407
104004212322032
1113041a451454a
12548062731214
132307986c9b90
14dbb3a962436
156e25abc0907
hex3a44da72ef0

4004212322032 has 80 divisors (see below), whose sum is σ = 8858322406080. Its totient is φ = 1737044176896.

The previous prime is 4004212322027. The next prime is 4004212322057. The reversal of 4004212322032 is 2302232124004.

It is a junction number, because it is equal to n+sod(n) for n = 4004212321988 and 4004212322006.

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, 1865194 + ... + 3389302.

It is an arithmetic number, because the mean of its divisors is an integer number (110729030076).

Almost surely, 24004212322032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004212322032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4429161203040).

4004212322032 is an abundant number, since it is smaller than the sum of its proper divisors (4854110084048).

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

4004212322032 is a wasteful number, since it uses less digits than its factorization.

4004212322032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524890 (or 1524884 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 4004212322032 its reverse (2302232124004), we get a palindrome (6306444446036).

The spelling of 4004212322032 in words is "four trillion, four billion, two hundred twelve million, three hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 743 884 1486 1768 2972 3536 5944 9659 11888 12631 19318 25262 38636 50524 77272 101048 154544 164203 202096 328406 656812 1313624 1524109 2627248 3048218 6096436 12192872 19813417 24385744 25909853 39626834 51819706 79253668 103639412 158507336 207278824 317014672 336828089 414557648 673656178 1132412987 1347312356 2264825974 2694624712 4529651948 5389249424 9059303896 14721368831 18118607792 19251020779 29442737662 38502041558 58885475324 77004083116 117770950648 154008166232 235541901296 250263270127 308016332464 500526540254 1001053080508 2002106161016 4004212322032