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1041455990784 = 21131121400891
BaseRepresentation
bin11110010011110111001…
…11010100100000000000
310200120011212011221212010
433021323213110200000
5114030400213201114
62114234400132520
7135146151600636
oct17117347244000
93616155157763
101041455990784
11371751835400
12149a11607140
1377293ba19c1
143859a13d356
151c155ea2c59
hexf27b9d4800

1041455990784 has 144 divisors (see below), whose sum is σ = 3051899257680. Its totient is φ = 315592499200.

The previous prime is 1041455990777. The next prime is 1041455990801. The reversal of 1041455990784 is 4870995541401.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42979 + ... + 1443869.

It is an arithmetic number, because the mean of its divisors is an integer number (21193744845).

Almost surely, 21041455990784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041455990784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525949628840).

1041455990784 is an abundant number, since it is smaller than the sum of its proper divisors (2010443266896).

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

1041455990784 is a wasteful number, since it uses less digits than its factorization.

1041455990784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400938 (or 1400907 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 57.

The spelling of 1041455990784 in words is "one trillion, forty-one billion, four hundred fifty-five million, nine hundred ninety thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 512 528 704 726 768 968 1024 1056 1408 1452 1536 1936 2048 2112 2816 2904 3072 3872 4224 5632 5808 6144 7744 8448 11264 11616 15488 16896 22528 23232 30976 33792 46464 61952 67584 92928 123904 185856 247808 371712 743424 1400891 2801782 4202673 5603564 8405346 11207128 15409801 16810692 22414256 30819602 33621384 44828512 46229403 61639204 67242768 89657024 92458806 123278408 134485536 169507811 179314048 184917612 246556816 268971072 339015622 358628096 369835224 493113632 508523433 537942144 678031244 717256192 739670448 986227264 1017046866 1075884288 1356062488 1434512384 1479340896 1972454528 2034093732 2151768576 2712124976 2869024768 2958681792 3944909056 4068187464 4303537152 5424249952 5917363584 7889818112 8136374928 8607074304 10848499904 11834727168 15779636224 16272749856 21696999808 23669454336 31559272448 32545499712 43393999616 47338908672 65090999424 86787999232 94677817344 130181998848 173575998464 260363997696 347151996928 520727995392 1041455990784