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444140224 = 26113147433
BaseRepresentation
bin11010011110010…
…000101011000000
31010221201122211221
4122132100223000
51402144441344
6112023244424
714002062313
oct3236205300
91127648757
10444140224
11208784140
121048a9714
1371027788
1442db497a
1528ed2184
hex1a790ac0

444140224 has 112 divisors (see below), whose sum is σ = 1015934976. Its totient is φ = 190771200.

The previous prime is 444140149. The next prime is 444140231. The reversal of 444140224 is 422041444.

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, 1025512 + ... + 1025944.

It is an arithmetic number, because the mean of its divisors is an integer number (9070848).

Almost surely, 2444140224 is an apocalyptic number.

444140224 is a gapful number since it is divisible by the number (44) 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 444140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507967488).

444140224 is an abundant number, since it is smaller than the sum of its proper divisors (571794752).

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

444140224 is a wasteful number, since it uses less digits than its factorization.

444140224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 444140224 is about 21074.6346113047. The cubic root of 444140224 is about 762.9686658872.

Adding to 444140224 its reverse (422041444), we get a palindrome (866181668).

The spelling of 444140224 in words is "four hundred forty-four million, one hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 47 62 64 88 94 124 176 188 248 341 352 376 433 496 517 682 704 752 866 992 1034 1364 1457 1504 1732 1984 2068 2728 2914 3008 3464 4136 4763 5456 5828 6928 8272 9526 10912 11656 13423 13856 16027 16544 19052 20351 21824 23312 26846 27712 32054 33088 38104 40702 46624 53692 64108 76208 81404 93248 107384 128216 147653 152416 162808 214768 223861 256432 295306 304832 325616 429536 447722 512864 590612 630881 651232 859072 895444 1025728 1181224 1261762 1302464 1790888 2362448 2523524 3581776 4724896 5047048 6939691 7163552 9449792 10094096 13879382 14327104 20188192 27758764 40376384 55517528 111035056 222070112 444140224