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40704054496 = 2573121731093
BaseRepresentation
bin100101111010001001…
…101001010011100000
310220001201212012200221
4211322021221103200
51131330214220441
630411005052424
72640453516550
oct457211512340
9126051765627
1040704054496
1116298417666
127a7b857114
133ab8bb1261
141d81cbd160
1510d370a8d1
hex97a2694e0

40704054496 has 144 divisors (see below), whose sum is σ = 95267848032. Its totient is φ = 16768926720.

The previous prime is 40704054449. The next prime is 40704054577. The reversal of 40704054496 is 69445040704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37240126 + ... + 37241218.

It is an arithmetic number, because the mean of its divisors is an integer number (661582278).

Almost surely, 240704054496 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 40704054496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47633924016).

40704054496 is an abundant number, since it is smaller than the sum of its proper divisors (54563793536).

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

40704054496 is a wasteful number, since it uses less digits than its factorization.

40704054496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 40704054496 in words is "forty billion, seven hundred four million, fifty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 173 217 224 248 346 434 496 692 868 961 992 1093 1211 1384 1736 1922 2186 2422 2768 3472 3844 4372 4844 5363 5536 6727 6944 7651 7688 8744 9688 10726 13454 15302 15376 17488 19376 21452 26908 30604 30752 33883 34976 37541 38752 42904 53816 61208 67766 75082 85808 107632 122416 135532 150164 166253 171616 189089 215264 237181 244832 271064 300328 332506 378178 474362 542128 600656 665012 756356 948724 1050373 1084256 1163771 1201312 1323623 1330024 1512712 1897448 2100746 2327542 2647246 2660048 3025424 3794896 4201492 4655084 5294492 5320096 5861759 6050848 7352611 7589792 8402984 9310168 10588984 11723518 14705222 16805968 18620336 21177968 23447036 29410444 33611936 37240672 41032313 42355936 46894072 58820888 82064626 93788144 117641776 164129252 181714529 187576288 235283552 328258504 363429058 656517008 726858116 1272001703 1313034016 1453716232 2544003406 2907432464 5088006812 5814864928 10176013624 20352027248 40704054496