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154142136346554 = 23237539209474197
BaseRepresentation
bin100011000011000100000011…
…010010000010011110111010
3202012202211210111210000122100
4203003010003102002132322
5130200431043401042204
61303455530405204230
744316254555603436
oct4303040322023672
9665684714700570
10154142136346554
1145129349543834
1215355941700676
1368017059cc105
142a0c73a9b59c6
1512c48cd952a39
hex8c31034827ba

154142136346554 has 96 divisors (see below), whose sum is σ = 349511372580240. Its totient is φ = 49043368498176.

The previous prime is 154142136346547. The next prime is 154142136346559. The reversal of 154142136346554 is 455643631241451.

It is a happy number.

154142136346554 is a `hidden beast` number, since 1 + 5 + 4 + 1 + 4 + 21 + 3 + 63 + 4 + 6 + 554 = 666.

154142136346554 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 62710196726529 + 91431939620025 = 7918977^2 + 9562005^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 154142136346554.

It is not an unprimeable number, because it can be changed into a prime (154142136346559) 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 47 ways as a sum of consecutive naturals, for example, 324822184 + ... + 325296380.

Almost surely, 2154142136346554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154142136346554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174755686290120).

154142136346554 is an abundant number, since it is smaller than the sum of its proper divisors (195369236233686).

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

154142136346554 is a wasteful number, since it uses less digits than its factorization.

154142136346554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483504 (or 483501 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 54.

The spelling of 154142136346554 in words is "one hundred fifty-four trillion, one hundred forty-two billion, one hundred thirty-six million, three hundred forty-six thousand, five hundred fifty-four".

Divisors: 1 2 3 6 9 18 37 53 74 106 111 159 222 318 333 477 666 954 1961 3922 5883 9209 11766 17649 18418 27627 35298 55254 82881 165762 340733 474197 488077 681466 948394 976154 1022199 1422591 1464231 2044398 2845182 2928462 3066597 4267773 4392693 6133194 8535546 8785386 17545289 18058849 25132441 35090578 36117698 50264882 52635867 54176547 75397323 105271734 108353094 150794646 157907601 162529641 226191969 315815202 325059282 452383938 929900317 1859800634 2789700951 4366880173 5579401902 8369102853 8733760346 13100640519 16738205706 26201281038 39301921557 78603843114 161574566401 231444649169 323149132802 462889298338 484723699203 694333947507 969447398406 1388667895014 1454171097609 2083001842521 2908342195218 4166003685042 8563452019253 17126904038506 25690356057759 51380712115518 77071068173277 154142136346554