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305044134640 = 24577912754293
BaseRepresentation
bin1000111000001100000…
…11000001101011110000
31002011101001100121122121
410130012003001223300
514444212244302030
6352045122244024
731016164235260
oct4340603015360
91064331317577
10305044134640
11108406509313
124b1527b6614
13229c4b70c6b
1410a9b0117a0
157e0543247a
hex47060c1af0

305044134640 has 160 divisors (see below), whose sum is σ = 827284193280. Its totient is φ = 102447700992.

The previous prime is 305044134617. The next prime is 305044134671. The reversal of 305044134640 is 46431440503.

It is a junction number, because it is equal to n+sod(n) for n = 305044134596 and 305044134605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5591334 + ... + 5645626.

It is an arithmetic number, because the mean of its divisors is an integer number (5170526208).

Almost surely, 2305044134640 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 305044134640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413642096640).

305044134640 is an abundant number, since it is smaller than the sum of its proper divisors (522240058640).

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

305044134640 is a wasteful number, since it uses less digits than its factorization.

305044134640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54519 (or 54513 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The spelling of 305044134640 in words is "three hundred five billion, forty-four million, one hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 79 80 112 127 140 158 254 280 316 395 508 553 560 632 635 790 889 1016 1106 1264 1270 1580 1778 2032 2212 2540 2765 3160 3556 4424 4445 5080 5530 6320 7112 8848 8890 10033 10160 11060 14224 17780 20066 22120 35560 40132 44240 50165 54293 70231 71120 80264 100330 108586 140462 160528 200660 217172 271465 280924 351155 380051 401320 434344 542930 561848 702310 760102 802640 868688 1085860 1123696 1404620 1520204 1900255 2171720 2809240 3040408 3800510 4289147 4343440 5618480 6080816 6895211 7601020 8578294 13790422 15202040 17156588 21445735 27580844 30024029 30404080 34313176 34476055 42891470 48266477 55161688 60048058 68626352 68952110 85782940 96532954 110323376 120096116 137904220 150120145 171565880 193065908 240192232 241332385 275808440 300240290 343131760 386131816 480384464 482664770 544721669 551616880 600480580 772263632 965329540 1089443338 1200961160 1930659080 2178886676 2401922320 2723608345 3813051683 3861318160 4357773352 5447216690 7626103366 8715546704 10894433380 15252206732 19065258415 21788866760 30504413464 38130516830 43577733520 61008826928 76261033660 152522067320 305044134640