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1444619960 = 23573711483
BaseRepresentation
bin101011000011011…
…0010011010111000
310201200022022000222
41112012302122320
510424310314320
6355203115212
750541032000
oct12606623270
93650268028
101444619960
116814a53a3
12343972b08
131a03a2114
14d9c09000
1586c5a825
hex561b26b8

1444619960 has 128 divisors (see below), whose sum is σ = 3846528000. Its totient is φ = 487992960.

The previous prime is 1444619941. The next prime is 1444619987. The reversal of 1444619960 is 699164441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 973379 + ... + 974861.

It is an arithmetic number, because the mean of its divisors is an integer number (30051000).

Almost surely, 21444619960 is an apocalyptic number.

1444619960 is a gapful number since it is divisible by the number (10) 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 1444619960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923264000).

1444619960 is an abundant number, since it is smaller than the sum of its proper divisors (2401908040).

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

1444619960 is a wasteful number, since it uses less digits than its factorization.

1444619960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 1444619960 is about 38008.1564930476. The cubic root of 1444619960 is about 1130.4495978960.

The spelling of 1444619960 in words is "one billion, four hundred forty-four million, six hundred nineteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 71 98 140 142 196 245 280 284 343 355 392 490 497 568 686 710 980 994 1372 1420 1483 1715 1960 1988 2485 2744 2840 2966 3430 3479 3976 4970 5932 6860 6958 7415 9940 10381 11864 13720 13916 14830 17395 19880 20762 24353 27832 29660 34790 41524 48706 51905 59320 69580 72667 83048 97412 103810 105293 121765 139160 145334 194824 207620 210586 243530 290668 363335 415240 421172 487060 508669 526465 581336 726670 737051 842344 974120 1017338 1052930 1453340 1474102 2034676 2105860 2543345 2906680 2948204 3685255 4069352 4211720 5086690 5159357 5896408 7370510 10173380 10318714 14741020 20346760 20637428 25796785 29482040 36115499 41274856 51593570 72230998 103187140 144461996 180577495 206374280 288923992 361154990 722309980 1444619960