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146054246546142 = 23311435718199301
BaseRepresentation
bin100001001101010111100111…
…011110111011101011011110
3201011010122112120020011022000
4201031113213132323223132
5123120423044103434032
61234344221121503130
742523033245605064
oct4115274736735336
9634118476204260
10146054246546142
11425a0292604710
121446a35b7a1aa6
136365b195351bc
14280d0c57bc034
1511d4315a3ee7c
hex84d5e77bbade

146054246546142 has 64 divisors (see below), whose sum is σ = 362305107774720. Its totient is φ = 43229586708000.

The previous prime is 146054246546111. The next prime is 146054246546161. The reversal of 146054246546142 is 241645642450641.

146054246546142 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 5 + 42 + 46 + 546 + 14 + 2 = 666.

It is a super-2 number, since 2×1460542465461422 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2859074109 + ... + 2859125192.

It is an arithmetic number, because the mean of its divisors is an integer number (5661017308980).

Almost surely, 2146054246546142 is an apocalyptic number.

146054246546142 is an abundant number, since it is smaller than the sum of its proper divisors (216250861228578).

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

146054246546142 is a wasteful number, since it uses less digits than its factorization.

146054246546142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5718199366 (or 5718199360 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

Adding to 146054246546142 its reverse (241645642450641), we get a palindrome (387699888996783).

The spelling of 146054246546142 in words is "one hundred forty-six trillion, fifty-four billion, two hundred forty-six million, five hundred forty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 43 54 66 86 99 129 198 258 297 387 473 594 774 946 1161 1419 2322 2838 4257 8514 12771 25542 5718199301 11436398602 17154597903 34309195806 51463793709 62900192311 102927587418 125800384622 154391381127 188700576933 245882569943 308782762254 377401153866 491765139886 566101730799 737647709829 1132203461598 1475295419658 1698305192397 2212943129487 2704708269373 3396610384794 4425886258974 5409416538746 6638829388461 8114124808119 13277658776922 16228249616238 24342374424357 48684748848714 73027123273071 146054246546142