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41988927744 = 283414232
BaseRepresentation
bin100111000110101111…
…000011000100000000
311000101021120112110000
4213012233003010000
51141443131141434
631142304240000
73014344665651
oct470657030400
9130337515400
1041988927744
1116897722985
12817a010000
133c62150c9a
1420647c3528
15115b40db99
hex9c6bc3100

41988927744 has 135 divisors (see below), whose sum is σ = 125291432343. Its totient is φ = 13986473472.

The previous prime is 41988927737. The next prime is 41988927751. The reversal of 41988927744 is 44772988914.

The square root of 41988927744 is 204912.

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

It is an interprime number because it is at equal distance from previous prime (41988927737) and next prime (41988927751).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 29506617 + ... + 29508039.

Almost surely, 241988927744 is an apocalyptic number.

41988927744 is the 204912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41988927744

41988927744 is an abundant number, since it is smaller than the sum of its proper divisors (83302504599).

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

41988927744 is an frugal number, since it uses more digits than its factorization.

41988927744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 1428 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 41988927744 in words is "forty-one billion, nine hundred eighty-eight million, nine hundred twenty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1423 1728 2304 2592 2846 3456 4269 5184 5692 6912 8538 10368 11384 12807 17076 20736 22768 25614 34152 38421 45536 51228 68304 76842 91072 102456 115263 136608 153684 182144 204912 230526 273216 307368 364288 409824 461052 546432 614736 819648 922104 1092864 1229472 1639296 1844208 2024929 2458944 3278592 3688416 4049858 4917888 6074787 7376832 8099716 9835776 12149574 14753664 16199432 18224361 24299148 29507328 32398864 36448722 48598296 54673083 64797728 72897444 97196592 109346166 129595456 145794888 164019249 194393184 218692332 259190912 291589776 328038498 388786368 437384664 518381824 583179552 656076996 777572736 874769328 1166359104 1312153992 1555145472 1749538656 2332718208 2624307984 3499077312 4665436416 5248615968 6998154624 10497231936 13996309248 20994463872 41988927744