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140152445433 = 327112131414267
BaseRepresentation
bin1000001010000110111…
…1001001100111111001
3111101202110112220120100
42002201233021213321
54244013011223213
6144215105150013
713061052062430
oct2024157114771
9441673486510
10140152445433
1154490446700
12231b492b309
13102a7338cb0
146ad7992117
1539a42d5773
hex20a1bc99f9

140152445433 has 72 divisors (see below), whose sum is σ = 273870169664. Its totient is φ = 67205920320.

The previous prime is 140152445429. The next prime is 140152445513. The reversal of 140152445433 is 334544251041.

140152445433 is a `hidden beast` number, since 1 + 401 + 5 + 244 + 5 + 4 + 3 + 3 = 666.

140152445433 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 140152445433 - 22 = 140152445429 is a prime.

It is not an unprimeable number, because it can be changed into a prime (140152445423) 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 71 ways as a sum of consecutive naturals, for example, 608035 + ... + 806232.

Almost surely, 2140152445433 is an apocalyptic number.

140152445433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

140152445433 is a deficient number, since it is larger than the sum of its proper divisors (133717724231).

140152445433 is a wasteful number, since it uses less digits than its factorization.

140152445433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414315 (or 1414301 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 140152445433 its reverse (334544251041), we get a palindrome (474696696474).

It can be divided in two parts, 140152 and 445433, that added together give a palindrome (585585).

The spelling of 140152445433 in words is "one hundred forty billion, one hundred fifty-two million, four hundred forty-five thousand, four hundred thirty-three".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 121 143 231 273 363 429 693 819 847 1001 1089 1287 1573 2541 3003 4719 7623 9009 11011 14157 33033 99099 1414267 4242801 9899869 12728403 15556937 18385471 29699607 46670811 55156413 89098821 108898559 128698297 140012433 165469239 171126307 202240181 326695677 386094891 513378921 606720543 980087031 1158284673 1197884149 1415681267 1540136763 1820161629 2224641991 3593652447 4247043801 6673925973 10780957341 12741131403 15572493937 20021777919 46717481811 140152445433