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1444042288 = 241317478689
BaseRepresentation
bin101011000010010…
…0101011000110000
310201122012221121201
41112010211120300
510424133323123
6355142500544
750533104553
oct12604453060
93648187551
101444042288
11681140387
12343734754
131a022c1c0
14d9ad869a
1586b945ad
hex56125630

1444042288 has 80 divisors (see below), whose sum is σ = 3258541440. Its totient is φ = 613859328.

The previous prime is 1444042277. The next prime is 1444042319. The reversal of 1444042288 is 8822404441.

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, 161848 + ... + 170536.

It is an arithmetic number, because the mean of its divisors is an integer number (40731768).

Almost surely, 21444042288 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 1444042288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629270720).

1444042288 is an abundant number, since it is smaller than the sum of its proper divisors (1814499152).

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

1444042288 is a wasteful number, since it uses less digits than its factorization.

1444042288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8774 (or 8768 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 37.

The square root of 1444042288 is about 38000.5564169789. The cubic root of 1444042288 is about 1130.2988970978.

The spelling of 1444042288 in words is "one billion, four hundred forty-four million, forty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 16 17 26 34 47 52 68 94 104 136 188 208 221 272 376 442 611 752 799 884 1222 1598 1768 2444 3196 3536 4888 6392 8689 9776 10387 12784 17378 20774 34756 41548 69512 83096 112957 139024 147713 166192 225914 295426 408383 451828 590852 816766 903656 1181704 1633532 1807312 1920269 2363408 3267064 3840538 5308979 6534128 6942511 7681076 10617958 13885022 15362152 21235916 27770044 30724304 42471832 55540088 84943664 90252643 111080176 180505286 361010572 722021144 1444042288