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10014503040 = 27345193181
BaseRepresentation
bin10010101001110100…
…10011000010000000
3221211221001110120000
421110322103002000
5131002203044130
64333421320000
7503111604603
oct112472230200
927757043500
1010014503040
114279a203a3
121b35a06000
13c379c7859
146b005a33a
153d92c5260
hex254e93080

10014503040 has 160 divisors (see below), whose sum is σ = 35763783660. Its totient is φ = 2670520320.

The previous prime is 10014503027. The next prime is 10014503053. The reversal of 10014503040 is 4030541001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10014503027) and next prime (10014503053).

It can be written as a sum of positive squares in 2 ways, for example, as 9886722624 + 127780416 = 99432^2 + 11304^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×100145030402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44751 + ... + 148430.

Almost surely, 210014503040 is an apocalyptic number.

10014503040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10014503040 is an abundant number, since it is smaller than the sum of its proper divisors (25749280620).

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

10014503040 is an equidigital number, since it uses as much as digits as its factorization.

10014503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193212 (or 193191 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The spelling of 10014503040 in words is "ten billion, fourteen million, five hundred three thousand, 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 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 10368 12960 17280 25920 51840 193181 386362 579543 772724 965905 1159086 1545448 1738629 1931810 2318172 2897715 3090896 3477258 3863620 4636344 5215887 5795430 6181792 6954516 7727240 8693145 9272688 10431774 11590860 12363584 13909032 15454480 15647661 17386290 18545376 20863548 23181720 24727168 26079435 27818064 30908960 31295322 34772580 37090752 41727096 46363440 52158870 55636128 61817920 62590644 69545160 74181504 78238305 83454192 92726880 104317740 111272256 123635840 125181288 139090320 156476610 166908384 185453760 208635480 222544512 250362576 278180640 312953220 333816768 370907520 417270960 500725152 556361280 625906440 667633536 834541920 1001450304 1112722560 1251812880 1669083840 2002900608 2503625760 3338167680 5007251520 10014503040