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1442144592 = 243276072357
BaseRepresentation
bin101010111110101…
…0110000101010000
310201111122112110200
41111331112011100
510423142111332
6355034055200
750511012120
oct12575260520
93644575420
101442144592
11680064639
12342b7a500
1319ca164c5
14d9762c80
158691c17c
hex55f56150

1442144592 has 120 divisors (see below), whose sum is σ = 4622132736. Its totient is φ = 411187968.

The previous prime is 1442144591. The next prime is 1442144617. The reversal of 1442144592 is 2954412441.

1442144592 is a `hidden beast` number, since 1 + 4 + 4 + 21 + 44 + 592 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442144591) 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, 610678 + ... + 613034.

Almost surely, 21442144592 is an apocalyptic number.

1442144592 is a gapful number since it is divisible by the number (12) 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 1442144592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311066368).

1442144592 is an abundant number, since it is smaller than the sum of its proper divisors (3179988144).

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

1442144592 is a wasteful number, since it uses less digits than its factorization.

1442144592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 2976 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 1442144592 is about 37975.5788895969. The cubic root of 1442144592 is about 1129.8035505729.

The spelling of 1442144592 in words is "one billion, four hundred forty-two million, one hundred forty-four thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 607 1008 1214 1821 2357 2428 3642 4249 4714 4856 5463 7071 7284 8498 9428 9712 10926 12747 14142 14568 16499 16996 18856 21213 21852 25494 28284 29136 32998 33992 37712 38241 42426 43704 49497 50988 56568 65996 67984 76482 84852 87408 98994 101976 113136 131992 148491 152964 169704 197988 203952 263984 296982 305928 339408 395976 593964 611856 791952 1187928 1430699 2375856 2861398 4292097 5722796 8584194 10014893 11445592 12876291 17168388 20029786 22891184 25752582 30044679 34336776 40059572 51505164 60089358 68673552 80119144 90134037 103010328 120178716 160238288 180268074 206020656 240357432 360536148 480714864 721072296 1442144592