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455254380240 = 243511179963379
BaseRepresentation
bin1101001111111110100…
…01101000111011010000
31121112002110102201021020
412213333101220323100
524424330110131430
6545050241155440
744614425245412
oct6477721507320
91545073381236
10455254380240
11166088258060
127429392bb80
1333c12b53caa
141806a6909b2
15bc976e1b10
hex69ff468ed0

455254380240 has 160 divisors (see below), whose sum is σ = 1548190195200. Its totient is φ = 109748021760.

The previous prime is 455254380179. The next prime is 455254380257. The reversal of 455254380240 is 42083452554.

It is a junction number, because it is equal to n+sod(n) for n = 455254380192 and 455254380201.

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, 9130 + ... + 954249.

It is an arithmetic number, because the mean of its divisors is an integer number (9676188720).

Almost surely, 2455254380240 is an apocalyptic number.

455254380240 is a gapful number since it is divisible by the number (40) 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 455254380240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774095097600).

455254380240 is an abundant number, since it is smaller than the sum of its proper divisors (1092935814960).

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

455254380240 is a wasteful number, since it uses less digits than its factorization.

455254380240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963585 (or 963579 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

The spelling of 455254380240 in words is "four hundred fifty-five billion, two hundred fifty-four million, three hundred eighty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 179 220 240 264 330 358 440 528 537 660 716 880 895 1074 1320 1432 1790 1969 2148 2640 2685 2864 3580 3938 4296 5370 5907 7160 7876 8592 9845 10740 11814 14320 15752 19690 21480 23628 29535 31504 39380 42960 47256 59070 78760 94512 118140 157520 236280 472560 963379 1926758 2890137 3853516 4816895 5780274 7707032 9633790 10597169 11560548 14450685 15414064 19267580 21194338 23121096 28901370 31791507 38535160 42388676 46242192 52985845 57802740 63583014 77070320 84777352 105971690 115605480 127166028 158957535 169554704 172444841 211943380 231210960 254332056 317915070 344889682 423886760 508664112 517334523 635830140 689779364 847773520 862224205 1034669046 1271660280 1379558728 1724448410 1896893251 2069338092 2543320560 2586672615 2759117456 3448896820 3793786502 4138676184 5173345230 5690679753 6897793640 7587573004 8277352368 9484466255 10346690460 11381359506 13795587280 15175146008 18968932510 20693380920 22762719012 28453398765 30350292016 37937865020 41386761840 45525438024 56906797530 75875730040 91050876048 113813595060 151751460080 227627190120 455254380240