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4020414342435 = 335192577142973
BaseRepresentation
bin111010100000010011010…
…111100110010100100011
3112020100101120212202011000
4322200103113212110203
51011332302032424220
612314541452123043
7563315421025341
oct72402327462443
915210346782130
104020414342435
1113100590a2257
1254b224766483
1323217b296bba
14dc836680991
156e8a82be390
hex3a8135e6523

4020414342435 has 96 divisors (see below), whose sum is σ = 7556507599680. Its totient is φ = 2027832496128.

The previous prime is 4020414342421. The next prime is 4020414342437. The reversal of 4020414342435 is 5342434140204.

4020414342435 is a `hidden beast` number, since 4 + 0 + 204 + 14 + 3 + 4 + 2 + 435 = 666.

It is not a de Polignac number, because 4020414342435 - 25 = 4020414342403 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4020414342435.

It is not an unprimeable number, because it can be changed into a prime (4020414342437) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28048609 + ... + 28191581.

It is an arithmetic number, because the mean of its divisors is an integer number (78713620830).

Almost surely, 24020414342435 is an apocalyptic number.

4020414342435 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4020414342435 is a deficient number, since it is larger than the sum of its proper divisors (3536093257245).

4020414342435 is a wasteful number, since it uses less digits than its factorization.

4020414342435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143602 (or 143577 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 4020414342435 its reverse (5342434140204), we get a palindrome (9362848482639).

The spelling of 4020414342435 in words is "four trillion, twenty billion, four hundred fourteen million, three hundred forty-two thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 19 27 45 57 95 135 171 285 361 513 577 855 1083 1731 1805 2565 2885 3249 5193 5415 8655 9747 10963 15579 16245 25965 32889 48735 54815 77895 98667 142973 164445 208297 296001 428919 493335 624891 714865 1041485 1286757 1480005 1874673 2144595 2716487 3124455 3860271 5624019 6433785 8149461 9373365 13582435 19301355 24448383 28120095 40747305 51613253 73345149 82495421 122241915 154839759 247486263 258066265 366725745 412477105 464519277 742458789 774198795 1237431315 1393557831 1567412999 2227376367 2322596385 3712293945 4702238997 6967789155 7837064995 11136881835 14106716991 23511194985 29780846981 42320150973 70533584955 89342540943 148904234905 211600754865 268027622829 446712704715 804082868487 1340138114145 4020414342435