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1021444144 = 24797167563
BaseRepresentation
bin111100111000100…
…000000000110000
32122012000201221121
4330320200000300
54042442203034
6245205032024
734212063160
oct7470400060
92565021847
101021444144
11484640116
122460b5614
13133807a26
14999305a0
155ea1a1b4
hex3ce20030

1021444144 has 80 divisors (see below), whose sum is σ = 2302852608. Its totient is φ = 429889536.

The previous prime is 1021444129. The next prime is 1021444153. The reversal of 1021444144 is 4414441201.

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, 1814007 + ... + 1814569.

Almost surely, 21021444144 is an apocalyptic number.

1021444144 is a gapful number since it is divisible by the number (14) 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 1021444144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151426304).

1021444144 is an abundant number, since it is smaller than the sum of its proper divisors (1281408464).

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

1021444144 is a wasteful number, since it uses less digits than its factorization.

1021444144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 1021444144 is about 31960.0397997249. The cubic root of 1021444144 is about 1007.0975535532.

Adding to 1021444144 its reverse (4414441201), we get a palindrome (5435885345).

The spelling of 1021444144 in words is "one billion, twenty-one million, four hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 97 112 167 194 334 388 563 668 679 776 1126 1169 1336 1358 1552 2252 2338 2672 2716 3941 4504 4676 5432 7882 9008 9352 10864 15764 16199 18704 31528 32398 54611 63056 64796 94021 109222 113393 129592 188042 218444 226786 259184 376084 382277 436888 453572 658147 752168 764554 873776 907144 1316294 1504336 1529108 1814288 2632588 3058216 5265176 6116432 9120037 10530352 18240074 36480148 63840259 72960296 127680518 145920592 255361036 510722072 1021444144