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142506861744 = 24313313729637
BaseRepresentation
bin1000010010111000010…
…0100010010010110000
3111121211112210122120110
42010232010202102300
54313323224033434
6145244452341320
713203311224062
oct2045604422260
9447745718513
10142506861744
1155489454505
1223751314840
1310591054740
146c7c547732
153a90d554e9
hex212e1224b0

142506861744 has 80 divisors (see below), whose sum is σ = 397728592352. Its totient is φ = 43708114944.

The previous prime is 142506861713. The next prime is 142506861773. The reversal of 142506861744 is 447168605241.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 142506861693 and 142506861702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169507 + ... + 560130.

Almost surely, 2142506861744 is an apocalyptic number.

It is an amenable number.

142506861744 is an abundant number, since it is smaller than the sum of its proper divisors (255221730608).

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

142506861744 is a wasteful number, since it uses less digits than its factorization.

142506861744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729974 (or 729968 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 142506861744 in words is "one hundred forty-two billion, five hundred six million, eight hundred sixty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 313 624 626 939 1252 1878 2504 3756 4069 5008 7512 8138 12207 15024 16276 24414 32552 48828 65104 97656 195312 729637 1459274 2188911 2918548 4377822 5837096 8755644 9485281 11674192 17511288 18970562 28455843 35022576 37941124 56911686 75882248 113823372 151764496 227646744 228376381 455293488 456752762 685129143 913505524 1370258286 1827011048 2740516572 2968892953 3654022096 5481033144 5937785906 8906678859 10962066288 11875571812 17813357718 23751143624 35626715436 47502287248 71253430872 142506861744