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142024310230401 = 3331701910326591
BaseRepresentation
bin100000010010101110011100…
…100011111000110110000001
3200121212101120101002001101000
4200102232130203320312001
5122103411241404333101
61222021022320402213
741625626543243334
oct4022563443706601
9617771511061330
10142024310230401
1141287198616a35
1213b1931a176369
136132ab1611591
14271002869061b
1511645a183a486
hex812b9c8f8d81

142024310230401 has 64 divisors (see below), whose sum is σ = 217535596462080. Its totient is φ = 91484384040000.

The previous prime is 142024310230399. The next prime is 142024310230409. The reversal of 142024310230401 is 104032013420241.

142024310230401 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 24 + 3 + 1 + 0 + 230 + 401 = 666.

It is not a de Polignac number, because 142024310230401 - 21 = 142024310230399 is a prime.

It is a super-4 number, since 4×1420243102304014 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (142024310230409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5341053616 + ... + 5341080206.

It is an arithmetic number, because the mean of its divisors is an integer number (3398993694720).

Almost surely, 2142024310230401 is an apocalyptic number.

It is an amenable number.

142024310230401 is a deficient number, since it is larger than the sum of its proper divisors (75511286231679).

142024310230401 is a wasteful number, since it uses less digits than its factorization.

142024310230401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36435 (or 36429 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 142024310230401 its reverse (104032013420241), we get a palindrome (246056323650642).

The spelling of 142024310230401 in words is "one hundred forty-two trillion, twenty-four billion, three hundred ten million, two hundred thirty thousand, four hundred one".

Divisors: 1 3 9 27 31 93 279 701 837 2103 6309 9103 18927 21731 26591 27309 65193 79773 81927 195579 239319 245781 282193 586737 717957 824321 846579 2472963 2539737 6381203 7418889 7619211 18640291 19143609 22256667 55920873 57430827 167762619 172292481 197817293 242057873 503287857 577849021 593451879 726173619 1733547063 1780355637 2178520857 5200641189 5341066911 6535562571 7503794063 15601923567 22511382189 67534146567 169682568973 202602439701 509047706919 1527143120757 4581429362271 5260159638163 15780478914489 47341436743467 142024310230401