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285253255440 = 243253111273907
BaseRepresentation
bin1000010011010100110…
…10110100000100010000
31000021021210022210012200
410021222122310010100
514133144313133230
6335013223123200
726415561444066
oct4115232640420
91007253283180
10285253255440
11aaa800318aa
124734a8a3500
1320b8c8c4c5a
14db40804036
157647c23160
hex426a6b4110

285253255440 has 120 divisors (see below), whose sum is σ = 961056577728. Its totient is φ = 75822885120.

The previous prime is 285253255429. The next prime is 285253255451. The reversal of 285253255440 is 44552352582.

285253255440 is a `hidden beast` number, since 2 + 8 + 5 + 2 + 53 + 2 + 554 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (285253255429) and next prime (285253255451).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413034 + ... + 860873.

Almost surely, 2285253255440 is an apocalyptic number.

285253255440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

285253255440 is an abundant number, since it is smaller than the sum of its proper divisors (675803322288).

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

285253255440 is a wasteful number, since it uses less digits than its factorization.

285253255440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274237 (or 1274228 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 285253255440 in words is "two hundred eighty-five billion, two hundred fifty-three million, two hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 311 360 622 720 933 1244 1555 1866 2488 2799 3110 3732 4665 4976 5598 6220 7464 9330 11196 12440 13995 14928 18660 22392 24880 27990 37320 44784 55980 74640 111960 223920 1273907 2547814 3821721 5095628 6369535 7643442 10191256 11465163 12739070 15286884 19108605 20382512 22930326 25478140 30573768 38217210 45860652 50956280 57325815 61147536 76434420 91721304 101912560 114651630 152868840 183442608 229303260 305737680 396185077 458606520 792370154 917213040 1188555231 1584740308 1980925385 2377110462 3169480616 3565665693 3961850770 4754220924 5942776155 6338961232 7131331386 7923701540 9508441848 11885552310 14262662772 15847403080 17828328465 19016883696 23771104620 28525325544 31694806160 35656656930 47542209240 57050651088 71313313860 95084418480 142626627720 285253255440