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142402240560 = 24356171136999
BaseRepresentation
bin1000010010011111010…
…1011100000000110000
3111121120020221100021210
42010213311130000300
54313114433144220
6145230234120120
713200601034046
oct2044765340060
9447506840253
10142402240560
1155435397018
1223722280040
1310575483708
146c6c6b2396
153a86a8b6e0
hex2127d5c030

142402240560 has 160 divisors (see below), whose sum is σ = 455006592000. Its totient is φ = 36825062400.

The previous prime is 142402240543. The next prime is 142402240577. The reversal of 142402240560 is 65042204241.

It is an interprime number because it is at equal distance from previous prime (142402240543) and next prime (142402240577).

It is a super-2 number, since 2×1424022405602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 970941 + ... + 1107939.

It is an arithmetic number, because the mean of its divisors is an integer number (2843791200).

Almost surely, 2142402240560 is an apocalyptic number.

142402240560 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 142402240560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227503296000).

142402240560 is an abundant number, since it is smaller than the sum of its proper divisors (312604351440).

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

142402240560 is a wasteful number, since it uses less digits than its factorization.

142402240560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137147 (or 137141 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 142402240560 in words is "one hundred forty-two billion, four hundred two million, two hundred forty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 71 80 120 122 142 183 213 240 244 284 305 355 366 426 488 568 610 710 732 852 915 976 1065 1136 1220 1420 1464 1704 1830 2130 2440 2840 2928 3408 3660 4260 4331 4880 5680 7320 8520 8662 12993 14640 17040 17324 21655 25986 34648 43310 51972 64965 69296 86620 103944 129930 136999 173240 207888 259860 273998 346480 410997 519720 547996 684995 821994 1039440 1095992 1369990 1643988 2054985 2191984 2739980 3287976 4109970 5479960 6575952 8219940 8356939 9726929 10959920 16439880 16713878 19453858 25070817 29180787 32879760 33427756 38907716 41784695 48634645 50141634 58361574 66855512 77815432 83569390 97269290 100283268 116723148 125354085 133711024 145903935 155630864 167138780 194538580 200566536 233446296 250708170 291807870 334277560 389077160 401133072 466892592 501416340 583615740 593342669 668555120 778154320 1002832680 1167231480 1186685338 1780028007 2005665360 2334462960 2373370676 2966713345 3560056014 4746741352 5933426690 7120112028 8900140035 9493482704 11866853380 14240224056 17800280070 23733706760 28480448112 35600560140 47467413520 71201120280 142402240560