Search a number
-
+
142506403616 = 25236710312803
BaseRepresentation
bin1000010010111000001…
…0110010011100100000
3111121211111221101010202
42010232002302130200
54313323114403431
6145244434444332
713203304305323
oct2045602623440
9447744841122
10142506403616
1155489171295
12237511336a8
1310590c24065
146c7c4687ba
153a90cb48cb
hex212e0b2720

142506403616 has 96 divisors (see below), whose sum is σ = 297521538048. Its totient is φ = 67048945920.

The previous prime is 142506403609. The next prime is 142506403621. The reversal of 142506403616 is 616304605241.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 142506403616.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50839271 + ... + 50842073.

It is an arithmetic number, because the mean of its divisors is an integer number (3099182688).

Almost surely, 2142506403616 is an apocalyptic number.

142506403616 is a gapful number since it is divisible by the number (16) 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 142506403616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148760769024).

142506403616 is an abundant number, since it is smaller than the sum of its proper divisors (155015134432).

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

142506403616 is a wasteful number, since it uses less digits than its factorization.

142506403616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3934 (or 3926 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 142506403616 in words is "one hundred forty-two billion, five hundred six million, four hundred three thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 67 92 134 184 268 368 536 736 1031 1072 1541 2062 2144 2803 3082 4124 5606 6164 8248 11212 12328 16496 22424 23713 24656 32992 44848 47426 49312 64469 69077 89696 94852 128938 138154 187801 189704 257876 276308 375602 379408 515752 552616 751204 758816 1031504 1105232 1502408 1588771 2063008 2210464 2889893 3004816 3177542 4319423 5779786 6009632 6355084 8638846 11559572 12710168 17277692 23119144 25420336 34555384 46238288 50840672 66467539 69110768 92476576 132935078 138221536 193622831 265870156 387245662 531740312 774491324 1063480624 1548982648 2126961248 3097965296 4453325113 6195930592 8906650226 17813300452 35626600904 71253201808 142506403616