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4444007370 = 2351113798297
BaseRepresentation
bin1000010001110001…
…00010101111001010
3102110201011222001120
410020320202233022
533100131213440
62012550300110
7215061303465
oct41070425712
912421158046
104444007370
111980587570
12a40357636
1355a90087a
143022d22dc
151b022cdd0
hex108e22bca

4444007370 has 64 divisors (see below), whose sum is σ = 11720267136. Its totient is φ = 1069460480.

The previous prime is 4444007341. The next prime is 4444007371. The reversal of 4444007370 is 737004444.

It is a super-3 number, since 3×44440073703 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4444007371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3939 + ... + 94358.

It is an arithmetic number, because the mean of its divisors is an integer number (183129174).

Almost surely, 24444007370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4444007370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5860133568).

4444007370 is an abundant number, since it is smaller than the sum of its proper divisors (7276259766).

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

4444007370 is a wasteful number, since it uses less digits than its factorization.

4444007370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98455.

The product of its (nonzero) digits is 37632, while the sum is 33.

The square root of 4444007370 is about 66663.3885277369. The cubic root of 4444007370 is about 1644.0874852065.

The spelling of 4444007370 in words is "four billion, four hundred forty-four million, seven thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 137 165 274 330 411 685 822 1370 1507 2055 3014 4110 4521 7535 9042 15070 22605 45210 98297 196594 294891 491485 589782 982970 1081267 1474455 2162534 2948910 3243801 5406335 6487602 10812670 13466689 16219005 26933378 32438010 40400067 67333445 80800134 134666890 148133579 202000335 296267158 404000670 444400737 740667895 888801474 1481335790 2222003685 4444007370