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142530223440 = 24351161885061
BaseRepresentation
bin1000010010111101110…
…1101001110101010000
3111121220011202112210110
42010233131221311100
54313400214122230
6145251045201320
713204013624013
oct2045735516520
9447804675713
10142530223440
11554a06604a0
1223759100240
1310595b44027
146c816a937a
153a92e1c4b0
hex212f769d50

142530223440 has 160 divisors (see below), whose sum is σ = 489913679232. Its totient is φ = 33986304000.

The previous prime is 142530223427. The next prime is 142530223457. The reversal of 142530223440 is 44322035241.

142530223440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 142530223398 and 142530223407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281491 + ... + 603570.

Almost surely, 2142530223440 is an apocalyptic number.

142530223440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142530223440 is an abundant number, since it is smaller than the sum of its proper divisors (347383455792).

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

142530223440 is a wasteful number, since it uses less digits than its factorization.

142530223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885149 (or 885143 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 142530223440 its reverse (44322035241), we get a palindrome (186852258681).

The spelling of 142530223440 in words is "one hundred forty-two billion, five hundred thirty million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 61 66 80 88 110 120 122 132 165 176 183 220 240 244 264 305 330 366 440 488 528 610 660 671 732 880 915 976 1220 1320 1342 1464 1830 2013 2440 2640 2684 2928 3355 3660 4026 4880 5368 6710 7320 8052 10065 10736 13420 14640 16104 20130 26840 32208 40260 53680 80520 161040 885061 1770122 2655183 3540244 4425305 5310366 7080488 8850610 9735671 10620732 13275915 14160976 17701220 19471342 21241464 26551830 29207013 35402440 38942684 42482928 48678355 53103660 53988721 58414026 70804880 77885368 97356710 106207320 107977442 116828052 146035065 155770736 161966163 194713420 212414640 215954884 233656104 269943605 292070130 323932326 389426840 431909768 467312208 539887210 584140260 593875931 647864652 778853680 809830815 863819536 1079774420 1168280520 1187751862 1295729304 1619661630 1781627793 2159548840 2336561040 2375503724 2591458608 2969379655 3239323260 3563255586 4319097680 4751007448 5938759310 6478646520 7126511172 8908138965 9502014896 11877518620 12957293040 14253022344 17816277930 23755037240 28506044688 35632555860 47510074480 71265111720 142530223440