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40299666699204 = 2232116471249125933
BaseRepresentation
bin10010010100110111111110…
…10100010111001111000100
312021200121111001200121022200
421022123333110113033010
520240232204133333304
6221413224501354500
711326361211002553
oct1112337724271704
9167617431617280
1040299666699204
1111927aa1272570
12462a418a08a30
13196431c339063
149d472b259d9a
1549d447edee39
hex24a6ff5173c4

40299666699204 has 144 divisors (see below), whose sum is σ = 111391141680000. Its totient is φ = 12183286302720.

The previous prime is 40299666699121. The next prime is 40299666699211.

40299666699204 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×402996666992042 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319945822 + ... + 320071754.

It is an arithmetic number, because the mean of its divisors is an integer number (773549595000).

Almost surely, 240299666699204 is an apocalyptic number.

40299666699204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40299666699204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55695570840000).

40299666699204 is an abundant number, since it is smaller than the sum of its proper divisors (71091474980796).

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

40299666699204 is a wasteful number, since it uses less digits than its factorization.

40299666699204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127850 (or 127845 counting only the distinct ones).

The product of its (nonzero) digits is 544195584, while the sum is 72.

The spelling of 40299666699204 in words is "forty trillion, two hundred ninety-nine billion, six hundred sixty-six million, six hundred ninety-nine thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 647 1249 1294 1941 2498 2588 3747 3882 4996 5823 7117 7494 7764 11241 11646 13739 14234 14988 21351 22482 23292 27478 28468 41217 42702 44964 54956 64053 82434 85404 123651 125933 128106 164868 247302 251866 256212 377799 494604 503732 755598 808103 1133397 1385263 1511196 1616206 2266794 2424309 2770526 3232412 4155789 4533588 4848618 5541052 7272927 8311578 8889133 9697236 12467367 14545854 16623156 17778266 24934734 26667399 29091708 35556532 49869468 53334798 80002197 81478651 106669596 157290317 160004394 162957302 244435953 314580634 320008788 325914604 471870951 488871906 629161268 733307859 896265161 943741902 977743812 1415612853 1466615718 1730193487 1792530322 1887483804 2688795483 2831225706 2933231436 3460386974 3585060644 5190580461 5377590966 5662451412 6920773948 8066386449 10381160922 10755181932 15571741383 16132772898 20762321844 31143482766 32265545796 62286965532 101766835099 203533670198 305300505297 407067340396 610601010594 915901515891 1119435186089 1221202021188 1831803031782 2238870372178 3358305558267 3663606063564 4477740744356 6716611116534 10074916674801 13433222233068 20149833349602 40299666699204