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4225040003320 = 2353738316134621
BaseRepresentation
bin111101011110111000000…
…000100011000011111000
3112221220120022011100110221
4331132320000203003320
51023210340220101240
612552542342145424
7614151300322213
oct75367000430370
915856508140427
104225040003320
111389913a31994
12582a11422274
1324855ba19306
141086c8c1c77a
1574d828a4a4a
hex3d7b80230f8

4225040003320 has 128 divisors (see below), whose sum is σ = 9796947978240. Its totient is φ = 1638675118080.

The previous prime is 4225040003263. The next prime is 4225040003369. The reversal of 4225040003320 is 233000405224.

It is a super-2 number, since 2×42250400033202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 914310610 + ... + 914315230.

It is an arithmetic number, because the mean of its divisors is an integer number (76538656080).

Almost surely, 24225040003320 is an apocalyptic number.

4225040003320 is a gapful number since it is divisible by the number (40) 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 4225040003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898473989120).

4225040003320 is an abundant number, since it is smaller than the sum of its proper divisors (5571907974920).

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

4225040003320 is a wasteful number, since it uses less digits than its factorization.

4225040003320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6665 (or 6661 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 4225040003320 its reverse (233000405224), we get a palindrome (4458040408544).

The spelling of 4225040003320 in words is "four trillion, two hundred twenty-five billion, forty million, three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 383 740 766 1480 1532 1613 1915 3064 3226 3830 4621 6452 7660 8065 9242 12904 14171 15320 16130 18484 23105 28342 32260 36968 46210 56684 59681 64520 70855 92420 113368 119362 141710 170977 184840 238724 283420 298405 341954 477448 566840 596810 617779 683908 854885 1193620 1235558 1367816 1709770 1769843 2387240 2471116 3088895 3419540 3539686 4942232 6177790 6839080 7079372 7453673 8849215 12355580 14158744 14907346 17698430 22857823 24711160 29814692 35396860 37268365 45715646 59629384 65484191 70793720 74536730 91431292 114289115 130968382 149073460 182862584 228578230 261936764 275785901 298146920 327420955 457156460 523873528 551571802 654841910 914312920 1103143604 1309683820 1378929505 2206287208 2619367640 2757859010 2854756759 5515718020 5709513518 11031436040 11419027036 14273783795 22838054072 28547567590 57095135180 105626000083 114190270360 211252000166 422504000332 528130000415 845008000664 1056260000830 2112520001660 4225040003320