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42944797219984 = 2411217287612
BaseRepresentation
bin10011100001110110111010…
…11000100001110010010000
312122001111000202102111200121
421300323131120201302100
521112101421042014414
6231200322324400024
712021442052314162
oct1160733530416220
9178044022374617
1042944797219984
111275787150a100
124996ba5846014
131ac68a54aa59a
14a86779ab6932
154e715ce5b724
hex270edd621c90

42944797219984 has 135 divisors (see below), whose sum is σ = 97164729309963. Its totient is φ = 18370008729600.

The previous prime is 42944797219927. The next prime is 42944797219993. The reversal of 42944797219984 is 48991279744924.

The square root of 42944797219984 is 6553228.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1726753683600 + 41218043536384 = 1314060^2 + 6420128^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4901810164 + ... + 4901818924.

Almost surely, 242944797219984 is an apocalyptic number.

42944797219984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

42944797219984 is the 6553228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42944797219984

42944797219984 is an abundant number, since it is smaller than the sum of its proper divisors (54219932089979).

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

42944797219984 is an frugal number, since it uses more digits than its factorization.

42944797219984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17586 (or 8791 counting only the distinct ones).

The product of its digits is 2633637888, while the sum is 79.

The spelling of 42944797219984 in words is "forty-two trillion, nine hundred forty-four billion, seven hundred ninety-seven million, two hundred nineteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 121 136 176 187 242 272 289 374 484 578 748 968 1156 1496 1936 2057 2312 2992 3179 4114 4624 6358 8228 8761 12716 16456 17522 25432 32912 34969 35044 50864 69938 70088 96371 139876 140176 148937 192742 279752 297874 385484 559504 595748 770968 1060081 1191496 1541936 1638307 2120162 2382992 2531929 3276614 4240324 5063858 6553228 8480648 10127716 13106456 16961296 18021377 20255432 26212912 27851219 36042754 40510864 55702438 72085508 76755121 111404876 144171016 153510242 222809752 288342032 306363409 307020484 445619504 612726818 614040968 844306331 1225453636 1228081936 1304837057 1688612662 2450907272 2609674114 3377225324 4901814544 5219348228 6754450648 9287369641 10438696456 13508901296 14353207627 18574739282 20877392912 22182229969 28706415254 37149478564 44364459938 57412830508 74298957128 88728919876 114825661016 148597914256 157885283897 177457839752 229651322032 244004529659 315770567794 354915679504 488009059318 631541135588 976018118636 1263082271176 1952036237272 2526164542352 2684049826249 3904072474544 5368099652498 10736199304996 21472398609992 42944797219984