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1144011648 = 273131012269
BaseRepresentation
bin100010000110000…
…0011101110000000
32221201122210221210
41010030003232000
54320331333043
6305304050120
740230636633
oct10414035600
92851583853
101144011648
1153784597a
1227b163940
13153020490
14abd17c1a
156a67b633
hex44303b80

1144011648 has 128 divisors (see below), whose sum is σ = 3306391200. Its totient is φ = 348364800.

The previous prime is 1144011637. The next prime is 1144011653. The reversal of 1144011648 is 8461104411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 503058 + ... + 505326.

Almost surely, 21144011648 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 1144011648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653195600).

1144011648 is an abundant number, since it is smaller than the sum of its proper divisors (2162379552).

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

1144011648 is a wasteful number, since it uses less digits than its factorization.

1144011648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 1144011648 is about 33823.2412403069. The cubic root of 1144011648 is about 1045.8678559392.

The spelling of 1144011648 in words is "one billion, one hundred forty-four million, eleven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 101 104 128 156 192 202 208 303 312 384 404 416 606 624 808 832 1212 1248 1313 1616 1664 2269 2424 2496 2626 3232 3939 4538 4848 4992 5252 6464 6807 7878 9076 9696 10504 12928 13614 15756 18152 19392 21008 27228 29497 31512 36304 38784 42016 54456 58994 63024 72608 84032 88491 108912 117988 126048 145216 168064 176982 217824 229169 235976 252096 290432 353964 435648 458338 471952 504192 687507 707928 871296 916676 943904 1375014 1415856 1833352 1887808 2750028 2831712 2979197 3666704 3775616 5500056 5663424 5958394 7333408 8937591 11000112 11326848 11916788 14666816 17875182 22000224 23833576 29333632 35750364 44000448 47667152 71500728 88000896 95334304 143001456 190668608 286002912 381337216 572005824 1144011648