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4405161280 = 265131736121
BaseRepresentation
bin1000001101001000…
…10110110101000000
3102101000002101020111
410012210112311000
533010210130110
62005041521104
7214110152542
oct40644266500
912330071214
104405161280
111960664963
12a2b343194
1355284c310
142db09d692
151abb07e8a
hex106916d40

4405161280 has 112 divisors (see below), whose sum is σ = 11363852304. Its totient is φ = 1616855040.

The previous prime is 4405161269. The next prime is 4405161283. The reversal of 4405161280 is 821615044.

It can be written as a sum of positive squares in 8 ways, for example, as 261921856 + 4143239424 = 16184^2 + 64368^2 .

It is a super-2 number, since 2×44051612802 = 38810891805622476800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4405161283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 716620 + ... + 722740.

It is an arithmetic number, because the mean of its divisors is an integer number (101462967).

Almost surely, 24405161280 is an apocalyptic number.

4405161280 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 4405161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5681926152).

4405161280 is an abundant number, since it is smaller than the sum of its proper divisors (6958691024).

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

4405161280 is a wasteful number, since it uses less digits than its factorization.

4405161280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6324 (or 6314 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 4405161280 is about 66371.3890166539. The cubic root of 4405161280 is about 1639.2830100041.

The spelling of 4405161280 in words is "four billion, four hundred five million, one hundred sixty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 173 208 260 320 346 416 520 692 832 865 1040 1384 1730 2080 2249 2768 3460 4160 4498 5536 6121 6920 8996 11072 11245 12242 13840 17992 22490 24484 27680 30605 35984 44980 48968 55360 61210 71968 79573 89960 97936 122420 143936 159146 179920 195872 244840 318292 359840 391744 397865 489680 636584 719680 795730 979360 1058933 1273168 1591460 1958720 2117866 2546336 3182920 4235732 5092672 5294665 6365840 8471464 10589330 12731680 13766129 16942928 21178660 25463360 27532258 33885856 42357320 55064516 67771712 68830645 84714640 110129032 137661290 169429280 220258064 275322580 338858560 440516128 550645160 881032256 1101290320 2202580640 4405161280