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40034073408 = 263737805061
BaseRepresentation
bin100101010010001101…
…110111101101000000
310211100001011122102120
4211102031313231000
51123442210322113
630220313044240
72615040003120
oct452215675500
9124301148376
1040034073408
1115a8421098a
1279133b6680
133a10152644
141d1ad1ac80
1510949b7a23
hex952377b40

40034073408 has 112 divisors (see below), whose sum is σ = 124327334784. Its totient is φ = 11129149440.

The previous prime is 40034073407. The next prime is 40034073427. The reversal of 40034073408 is 80437043004.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40034073407) 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 15 ways as a sum of consecutive naturals, for example, 352803 + ... + 452258.

Almost surely, 240034073408 is an apocalyptic number.

40034073408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40034073408 is an abundant number, since it is smaller than the sum of its proper divisors (84293261376).

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

40034073408 is a wasteful number, since it uses less digits than its factorization.

40034073408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805120 (or 805110 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The spelling of 40034073408 in words is "forty billion, thirty-four million, seventy-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 148 168 192 222 224 259 296 336 444 448 518 592 672 777 888 1036 1184 1344 1554 1776 2072 2368 3108 3552 4144 6216 7104 8288 12432 16576 24864 49728 805061 1610122 2415183 3220244 4830366 5635427 6440488 9660732 11270854 12880976 16906281 19321464 22541708 25761952 29787257 33812562 38642928 45083416 51523904 59574514 67625124 77285856 89361771 90166832 119149028 135250248 154571712 178723542 180333664 208510799 238298056 270500496 357447084 360667328 417021598 476596112 541000992 625532397 714894168 834043196 953192224 1082001984 1251064794 1429788336 1668086392 1906384448 2502129588 2859576672 3336172784 5004259176 5719153344 6672345568 10008518352 13344691136 20017036704 40034073408