Search a number
-
+
142061670480 = 24356722873863
BaseRepresentation
bin1000010001001110001…
…0010001000001010000
3111120200112002120222010
42010103202101001100
54311420241423410
6145132350342520
713156264163262
oct2042342210120
9446615076863
10142061670480
1155280122744
12236481baa40
131051ca4c762
146c3937bb32
153a66c16c20
hex2113891050

142061670480 has 160 divisors (see below), whose sum is σ = 447275372544. Its totient is φ = 37291719168.

The previous prime is 142061670469. The next prime is 142061670503. The reversal of 142061670480 is 84076160241.

142061670480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36773029 + ... + 36776891.

Almost surely, 2142061670480 is an apocalyptic number.

142061670480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142061670480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223637686272).

142061670480 is an abundant number, since it is smaller than the sum of its proper divisors (305213702064).

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

142061670480 is a wasteful number, since it uses less digits than its factorization.

142061670480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6233 (or 6227 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 142061670480 in words is "one hundred forty-two billion, sixty-one million, six hundred seventy thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1608 2010 2287 2680 3216 3863 4020 4574 5360 6861 7726 8040 9148 11435 11589 13722 15452 16080 18296 19315 22870 23178 27444 30904 34305 36592 38630 45740 46356 54888 57945 61808 68610 77260 91480 92712 109776 115890 137220 153229 154520 182960 185424 231780 258821 274440 306458 309040 459687 463560 517642 548880 612916 766145 776463 919374 927120 1035284 1225832 1294105 1532290 1552926 1838748 2070568 2298435 2451664 2588210 3064580 3105852 3677496 3882315 4141136 4596870 5176420 6129160 6211704 7354992 7764630 8834681 9193740 10352840 12258320 12423408 15529260 17669362 18387480 20705680 26504043 31058520 35338724 36774960 44173405 53008086 62117040 70677448 88346810 106016172 132520215 141354896 176693620 212032344 265040430 353387240 424064688 530080860 591923627 706774480 1060161720 1183847254 1775770881 2120323440 2367694508 2959618135 3551541762 4735389016 5919236270 7103083524 8878854405 9470778032 11838472540 14206167048 17757708810 23676945080 28412334096 35515417620 47353890160 71030835240 142061670480