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1445444640 = 253251099209
BaseRepresentation
bin101011000100111…
…1011110000100000
310201201212012021200
41112021323300200
510430013212030
6355232521200
750551035213
oct12611736040
93651765250
101445444640
11681a08a52
123440b0200
131a06005b3
14d9d8177a
1586d6ed60
hex5627bc20

1445444640 has 144 divisors (see below), whose sum is σ = 4978373400. Its totient is φ = 381874176.

The previous prime is 1445444621. The next prime is 1445444647. The reversal of 1445444640 is 464445441.

1445444640 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 4 + 4 + 4 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1044323856 + 401120784 = 32316^2 + 20028^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1445444595 and 1445444604.

It is not an unprimeable number, because it can be changed into a prime (1445444647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152356 + ... + 161564.

Almost surely, 21445444640 is an apocalyptic number.

1445444640 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 1445444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489186700).

1445444640 is an abundant number, since it is smaller than the sum of its proper divisors (3532928760).

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

1445444640 is a wasteful number, since it uses less digits than its factorization.

1445444640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9339 (or 9328 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The square root of 1445444640 is about 38019.0036692178. The cubic root of 1445444640 is about 1130.6646675704.

The spelling of 1445444640 in words is "one billion, four hundred forty-five million, four hundred forty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 109 120 144 160 180 218 240 288 327 360 436 480 545 654 720 872 981 1090 1308 1440 1635 1744 1962 2180 2616 3270 3488 3924 4360 4905 5232 6540 7848 8720 9209 9810 10464 13080 15696 17440 18418 19620 26160 27627 31392 36836 39240 46045 52320 55254 73672 78480 82881 92090 110508 138135 147344 156960 165762 184180 221016 276270 294688 331524 368360 414405 442032 552540 663048 736720 828810 884064 1003781 1105080 1326096 1473440 1657620 2007562 2210160 2652192 3011343 3315240 4015124 4420320 5018905 6022686 6630480 8030248 9034029 10037810 12045372 13260960 15056715 16060496 18068058 20075620 24090744 30113430 32120992 36136116 40151240 45170145 48181488 60226860 72272232 80302480 90340290 96362976 120453720 144544464 160604960 180680580 240907440 289088928 361361160 481814880 722722320 1445444640