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1422253252431 = 321125334970607
BaseRepresentation
bin10100101100100100111…
…001100101111101001111
312000222002021102010222100
4110230210321211331033
5141300233313034211
63005212451050143
7204516522115014
oct24544471457517
95028067363870
101422253252431
114a91a0979200
121ab7858a0953
13a416c069a6b
144cba1c7170b
1526ee1b16156
hex14b24e65f4f

1422253252431 has 72 divisors (see below), whose sum is σ = 2307335284800. Its totient is φ = 843272876160.

The previous prime is 1422253252423. The next prime is 1422253252457. The reversal of 1422253252431 is 1342523522241.

1422253252431 is a `hidden beast` number, since 1 + 42 + 2 + 2 + 532 + 52 + 4 + 31 = 666.

It is not a de Polignac number, because 1422253252431 - 23 = 1422253252423 is a prime.

It is a super-2 number, since 2×14222532524312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1422253252031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20107930 + ... + 20178536.

It is an arithmetic number, because the mean of its divisors is an integer number (32046323400).

Almost surely, 21422253252431 is an apocalyptic number.

1422253252431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1422253252431 is a deficient number, since it is larger than the sum of its proper divisors (885082032369).

1422253252431 is a wasteful number, since it uses less digits than its factorization.

1422253252431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71037 (or 71023 counting only the distinct ones).

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

Adding to 1422253252431 its reverse (1342523522241), we get a palindrome (2764776774672).

The spelling of 1422253252431 in words is "one trillion, four hundred twenty-two billion, two hundred fifty-three million, two hundred fifty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 53 99 121 159 349 363 477 583 1047 1089 1749 3141 3839 5247 6413 11517 18497 19239 34551 42229 55491 57717 70607 126687 166473 203467 211821 380061 610401 635463 776677 1831203 2238137 2330031 3742171 6714411 6990093 8543447 11226513 20143233 24641843 25630341 33679539 41163881 73925529 76891023 123491643 221776587 271060273 370474929 452802691 813180819 1306017679 1358408073 2439542457 2981663003 3918053037 4075224219 8944989009 11754159111 14366194469 26834967027 43098583407 129295750221 158028139159 474084417477 1422253252431