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2113444440 = 233353752889
BaseRepresentation
bin111110111111000…
…1001101001011000
312110021211002202000
41331332021221120
513312020210230
6545414241000
7103241660412
oct17576115130
95407732660
102113444440
11994a910a8
124ab956160
13278b17453
141609899b2
15c5820b60
hex7df89a58

2113444440 has 128 divisors (see below), whose sum is σ = 7235352000. Its totient is φ = 548342784.

The previous prime is 2113444429. The next prime is 2113444451. The reversal of 2113444440 is 444443112.

2113444440 is a `hidden beast` number, since 211 + 3 + 4 + 4 + 4 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (2113444429) and next prime (2113444451).

It is a super-3 number, since 3×21134444403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 13516 + ... + 66404.

Almost surely, 22113444440 is an apocalyptic number.

2113444440 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 2113444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3617676000).

2113444440 is an abundant number, since it is smaller than the sum of its proper divisors (5121907560).

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

2113444440 is a wasteful number, since it uses less digits than its factorization.

2113444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52946 (or 52936 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2113444440 is about 45972.2137818052. The cubic root of 2113444440 is about 1283.3061584546.

Adding to 2113444440 its reverse (444443112), we get a palindrome (2557887552).

The spelling of 2113444440 in words is "two billion, one hundred thirteen million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 90 108 111 120 135 148 180 185 216 222 270 296 333 360 370 444 540 555 666 740 888 999 1080 1110 1332 1480 1665 1998 2220 2664 3330 3996 4440 4995 6660 7992 9990 13320 19980 39960 52889 105778 158667 211556 264445 317334 423112 476001 528890 634668 793335 952002 1057780 1269336 1428003 1586670 1904004 1956893 2115560 2380005 2856006 3173340 3808008 3913786 4760010 5712012 5870679 6346680 7140015 7827572 9520020 9784465 11424024 11741358 14280030 15655144 17612037 19040040 19568930 23482716 28560060 29353395 35224074 39137860 46965432 52836111 57120120 58706790 70448148 78275720 88060185 105672222 117413580 140896296 176120370 211344444 234827160 264180555 352240740 422688888 528361110 704481480 1056722220 2113444440