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45469261440 = 273352631323
BaseRepresentation
bin101010010110001011…
…011101111010000000
311100100211102210202000
4222112023131322000
51221110112331230
632515512024000
73166525226301
oct522613357200
9140324383660
1045469261440
1118313238119
12898b692000
1343981c3035
1422b4b027a8
1512b1c33b60
hexa962dde80

45469261440 has 128 divisors (see below), whose sum is σ = 161037028800. Its totient is φ = 12125131776.

The previous prime is 45469261427. The next prime is 45469261447. The reversal of 45469261440 is 4416296454.

45469261440 is a `hidden beast` number, since 4 + 546 + 9 + 2 + 61 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (45469261447) 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, 1298382 + ... + 1332941.

Almost surely, 245469261440 is an apocalyptic number.

45469261440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45469261440 is an abundant number, since it is smaller than the sum of its proper divisors (115567767360).

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

45469261440 is a wasteful number, since it uses less digits than its factorization.

45469261440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631351 (or 2631333 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 45469261440 in words is "forty-five billion, four hundred sixty-nine million, two hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 2631323 5262646 7893969 10525292 13156615 15787938 21050584 23681907 26313230 31575876 39469845 42101168 47363814 52626460 63151752 71045721 78939690 84202336 94727628 105252920 118409535 126303504 142091442 157879380 168404672 189455256 210505840 236819070 252607008 284182884 315758760 336809344 355228605 378910512 421011680 473638140 505214016 568365768 631517520 710457210 757821024 842023360 947276280 1010428032 1136731536 1263035040 1420914420 1515642048 1684046720 1894552560 2273463072 2526070080 2841828840 3031284096 3789105120 4546926144 5052140160 5683657680 7578210240 9093852288 11367315360 15156420480 22734630720 45469261440