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141652809168 = 24313436598011
BaseRepresentation
bin1000001111101100101…
…0100101010111010000
3111112122000202021200120
42003323022211113100
54310101104343133
6145024023150240
713143201003633
oct2037312452720
9445560667616
10141652809168
1155090355132
12235532a5380
13104861279a0
146bdad4bc1a
153a40da2ab3
hex20fb2a55d0

141652809168 has 160 divisors (see below), whose sum is σ = 403912481280. Its totient is φ = 42501957120.

The previous prime is 141652809121. The next prime is 141652809173. The reversal of 141652809168 is 861908256141.

It is a happy number.

141652809168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 141652809168.

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, 17678283 + ... + 17686293.

It is an arithmetic number, because the mean of its divisors is an integer number (2524453008).

Almost surely, 2141652809168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141652809168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201956240640).

141652809168 is an abundant number, since it is smaller than the sum of its proper divisors (262259672112).

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

141652809168 is a wasteful number, since it uses less digits than its factorization.

141652809168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8737 (or 8731 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 141652809168 in words is "one hundred forty-one billion, six hundred fifty-two million, eight hundred nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 129 156 172 208 258 312 344 516 559 624 659 688 1032 1118 1318 1677 1977 2064 2236 2636 3354 3954 4472 5272 6708 7908 8011 8567 8944 10544 13416 15816 16022 17134 24033 25701 26832 28337 31632 32044 34268 48066 51402 56674 64088 68536 85011 96132 102804 104143 113348 128176 137072 170022 192264 205608 208286 226696 312429 340044 344473 368381 384528 411216 416572 453392 624858 680088 688946 736762 833144 1033419 1105143 1249716 1360176 1377892 1473524 1666288 2066838 2210286 2499432 2755784 2947048 4133676 4420572 4478149 4998864 5279249 5511568 5894096 8267352 8841144 8956298 10558498 13434447 15837747 16534704 17682288 17912596 21116996 26868894 31675494 35825192 42233992 53737788 63350988 68630237 71650384 84467984 107475576 126701976 137260474 205890711 214951152 227007707 253403952 274520948 411781422 454015414 549041896 681023121 823562844 908030828 1098083792 1362046242 1647125688 1816061656 2724092484 2951100191 3294251376 3632123312 5448184968 5902200382 8853300573 10896369936 11804400764 17706601146 23608801528 35413202292 47217603056 70826404584 141652809168