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142321232122160 = 24571320879367331
BaseRepresentation
bin100000010111000010111110…
…011111000001000100110000
3200122220202222100222222102012
4200113002332133001010300
5122123242340410402120
61222405245455142052
741656240543546340
oct4027027637010460
9618822870888365
10142321232122160
1141391106253a23
1213b66984814928
136154ab080b660
142720554a96d20
15116c17db771c5
hex8170be7c1130

142321232122160 has 160 divisors (see below), whose sum is σ = 407452863347712. Its totient is φ = 45020736875520.

The previous prime is 142321232122159. The next prime is 142321232122171. The reversal of 142321232122160 is 61221232123241.

It is a super-3 number, since 3×1423212321221603 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 10509695 + ... + 19877025.

Almost surely, 2142321232122160 is an apocalyptic number.

142321232122160 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 142321232122160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203726431673856).

142321232122160 is an abundant number, since it is smaller than the sum of its proper divisors (265131631225552).

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

142321232122160 is a wasteful number, since it uses less digits than its factorization.

142321232122160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9369451 (or 9369445 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 142321232122160 in words is "one hundred forty-two trillion, three hundred twenty-one billion, two hundred thirty-two million, one hundred twenty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 2087 3640 4174 7280 8348 10435 14609 16696 20870 27131 29218 33392 41740 54262 58436 73045 83480 108524 116872 135655 146090 166960 189917 217048 233744 271310 292180 379834 434096 542620 584360 759668 949585 1085240 1168720 1519336 1899170 2170480 3038672 3798340 7596680 9367331 15193360 18734662 37469324 46836655 65571317 74938648 93673310 121775303 131142634 149877296 187346620 243550606 262285268 327856585 374693240 487101212 524570536 608876515 655713170 749386480 852427121 974202424 1049141072 1217753030 1311426340 1704854242 1948404848 2435506060 2622852680 3409708484 4262135605 4871012120 5245705360 6819416968 8524271210 9742024240 13638833936 17048542420 19549619797 34097084840 39099239594 68194169680 78198479188 97748098985 136847338579 156396958376 195496197970 254145057361 273694677158 312793916752 390992395940 508290114722 547389354316 684236692895 781984791880 1016580229444 1094778708632 1270725286805 1368473385790 1563969583760 1779015401527 2033160458888 2189557417264 2541450573610 2736946771580 3558030803054 4066320917776 5082901147220 5473893543160 7116061606108 8895077007635 10165802294440 10947787086320 14232123212216 17790154015270 20331604588880 28464246424432 35580308030540 71160616061080 142321232122160