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40445131776 = 210371880819
BaseRepresentation
bin100101101010101101…
…111011110000000000
310212101200122120111120
4211222231323300000
51130312423204101
630325155312240
72631160643040
oct455255736000
9125350576446
1040445131776
111617524a145
127a08bab680
133a7736644a
141d5975d720
1510bab12b36
hex96ab7bc00

40445131776 has 88 divisors (see below), whose sum is σ = 123201233280. Its totient is φ = 11555745792.

The previous prime is 40445131763. The next prime is 40445131777. The reversal of 40445131776 is 67713154404.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40445131777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 918906 + ... + 961913.

Almost surely, 240445131776 is an apocalyptic number.

It is an amenable number.

40445131776 is an abundant number, since it is smaller than the sum of its proper divisors (82756101504).

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

40445131776 is a wasteful number, since it uses less digits than its factorization.

40445131776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880849 (or 1880831 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 40445131776 in words is "forty billion, four hundred forty-five million, one hundred thirty-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3584 5376 7168 10752 21504 1880819 3761638 5642457 7523276 11284914 13165733 15046552 22569828 26331466 30093104 39497199 45139656 52662932 60186208 78994398 90279312 105325864 120372416 157988796 180558624 210651728 240744832 315977592 361117248 421303456 481489664 631955184 722234496 842606912 962979328 1263910368 1444468992 1685213824 1925958656 2527820736 2888937984 3370427648 5055641472 5777875968 6740855296 10111282944 13481710592 20222565888 40445131776