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142505822056 = 231319296737117
BaseRepresentation
bin1000010010111000000…
…0100100011101101000
3111121211110211211101111
42010232000210131220
54313322442301211
6145244414200104
713203266333653
oct2045600443550
9447743754344
10142505822056
1155488904364
1223750ab3034
1310590a7c440
146c7c35689a
153a90bec421
hex212e024768

142505822056 has 128 divisors (see below), whose sum is σ = 318027024000. Its totient is φ = 59262077952.

The previous prime is 142505822051. The next prime is 142505822083. The reversal of 142505822056 is 650228505241.

It is not an unprimeable number, because it can be changed into a prime (142505822051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3820810 + ... + 3857926.

It is an arithmetic number, because the mean of its divisors is an integer number (2484586125).

Almost surely, 2142505822056 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 142505822056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159013512000).

142505822056 is an abundant number, since it is smaller than the sum of its proper divisors (175521201944).

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

142505822056 is a wasteful number, since it uses less digits than its factorization.

142505822056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37251 (or 37247 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 40.

The spelling of 142505822056 in words is "one hundred forty-two billion, five hundred five million, eight hundred twenty-two thousand, fifty-six".

Divisors: 1 2 4 8 13 19 26 29 38 52 58 67 76 104 116 134 152 232 247 268 377 494 536 551 754 871 988 1102 1273 1508 1742 1943 1976 2204 2546 3016 3484 3886 4408 5092 6968 7163 7772 10184 14326 15544 16549 25259 28652 33098 36917 37117 50518 57304 66196 73834 74234 101036 132392 147668 148468 202072 295336 296936 479921 482521 705223 959842 965042 1076393 1410446 1919684 1930084 2152786 2486839 2820892 3839368 3860168 4305572 4973678 5641784 8611144 9167899 9947356 13993109 18335798 19894712 20451467 27986218 32328907 36671596 40902934 47249941 55972436 64657814 72118331 73343192 81805868 94499882 111944872 129315628 144236662 163611736 188999764 258631256 265869071 288473324 377999528 531738142 576946648 614249233 937538303 1063476284 1228498466 1370248289 1875076606 2126952568 2456996932 2740496578 3750153212 4913993864 5480993156 7500306424 10961986312 17813227757 35626455514 71252911028 142505822056