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45330405404220 = 22345243291150139
BaseRepresentation
bin10100100111010010011101…
…01101100010111000111100
312221111112200220002201220000
422103221032231202320330
521420143132240413340
6240224300055154300
712356004463310556
oct1223511655427074
9187445626081800
1045330405404220
11134975760a9072
125101405075990
131c3a83c836a71
14b2a0091bc4d6
15539234105d30
hex293a4eb62e3c

45330405404220 has 120 divisors (see below), whose sum is σ = 142209129308400. Its totient is φ = 12087600738048.

The previous prime is 45330405404203. The next prime is 45330405404233. The reversal of 45330405404220 is 2240450403354.

45330405404220 is a `hidden beast` number, since 4 + 5 + 3 + 30 + 40 + 540 + 42 + 2 + 0 = 666.

It is a super-2 number, since 2×453304054042202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38837911 + ... + 39988049.

It is an arithmetic number, because the mean of its divisors is an integer number (1185076077570).

Almost surely, 245330405404220 is an apocalyptic number.

It is an amenable number.

45330405404220 is an abundant number, since it is smaller than the sum of its proper divisors (96878723904180).

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

45330405404220 is a wasteful number, since it uses less digits than its factorization.

45330405404220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174489 (or 1174478 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 45330405404220 its reverse (2240450403354), we get a palindrome (47570855807574).

The spelling of 45330405404220 in words is "forty-five trillion, three hundred thirty billion, four hundred five million, four hundred four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 24329 48658 72987 97316 121645 145974 218961 243290 291948 364935 437922 486580 656883 729870 875844 1094805 1150139 1313766 1459740 1970649 2189610 2300278 2627532 3284415 3450417 3941298 4379220 4600556 5750695 6568830 6900834 7882596 9853245 10351251 11501390 13137660 13801668 17252085 19706490 20702502 23002780 31053753 34504170 39412980 41405004 51756255 62107506 69008340 93161259 103512510 124215012 155268765 186322518 207025020 310537530 372645036 465806295 621075060 931612590 1863225180 27981731731 55963463462 83945195193 111926926924 139908658655 167890390386 251835585579 279817317310 335780780772 419725975965 503671171158 559634634620 755506756737 839451951930 1007342342316 1259177927895 1511013513474 1678903903860 2266520270211 2518355855790 3022027026948 3777533783685 4533040540422 5036711711580 7555067567370 9066081080844 11332601351055 15110135134740 22665202702110 45330405404220