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148140106840 = 235112411397021
BaseRepresentation
bin1000100111110111010…
…1101010010001011000
3112011101010202011002201
42021331311222101120
54411342331404330
6152015444335544
713463023063135
oct2117565522130
9464333664081
10148140106840
115790a256970
12248639a45b4
1310c7b14bc6b
14725476758c
153cc0694eca
hex227dd6a458

148140106840 has 64 divisors (see below), whose sum is σ = 365125669920. Its totient is φ = 53645568000.

The previous prime is 148140106819. The next prime is 148140106843. The reversal of 148140106840 is 48601041841.

148140106840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1481401068402 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 148140106840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148140106843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 592471 + ... + 804550.

Almost surely, 2148140106840 is an apocalyptic number.

148140106840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148140106840 is an abundant number, since it is smaller than the sum of its proper divisors (216985563080).

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

148140106840 is a wasteful number, since it uses less digits than its factorization.

148140106840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397284 (or 1397280 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The spelling of 148140106840 in words is "one hundred forty-eight billion, one hundred forty million, one hundred six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 241 440 482 964 1205 1928 2410 2651 4820 5302 9640 10604 13255 21208 26510 53020 106040 1397021 2794042 5588084 6985105 11176168 13970210 15367231 27940420 30734462 55880840 61468924 76836155 122937848 153672310 307344620 336682061 614689240 673364122 1346728244 1683410305 2693456488 3366820610 3703502671 6733641220 7407005342 13467282440 14814010684 18517513355 29628021368 37035026710 74070053420 148140106840