Search a number
-
+
142739048064 = 2731723950681
BaseRepresentation
bin1000010011101111101…
…0010000011010000000
3111122102201200221022210
42010323322100122000
54314312144014224
6145323505102120
713212130614114
oct2047372203200
9448381627283
10142739048064
1155598520528
12237b7027940
13105ca19abb2
146ca1307744
153aa641b429
hex213be90680

142739048064 has 128 divisors (see below), whose sum is σ = 418908516480. Its totient is φ = 42833838080.

The previous prime is 142739048029. The next prime is 142739048143. The reversal of 142739048064 is 460840937241.

It is a tau number, because it is divible by the number of its divisors (128).

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

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, 325197 + ... + 625484.

It is an arithmetic number, because the mean of its divisors is an integer number (3272722785).

Almost surely, 2142739048064 is an apocalyptic number.

It is an amenable number.

142739048064 is an abundant number, since it is smaller than the sum of its proper divisors (276169468416).

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

142739048064 is a wasteful number, since it uses less digits than its factorization.

142739048064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950738 (or 950726 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 142739048064 in words is "one hundred forty-two billion, seven hundred thirty-nine million, forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 64 68 69 92 96 102 128 136 138 184 192 204 272 276 368 384 391 408 544 552 736 782 816 1088 1104 1173 1472 1564 1632 2176 2208 2346 2944 3128 3264 4416 4692 6256 6528 8832 9384 12512 18768 25024 37536 50048 75072 150144 950681 1901362 2852043 3802724 5704086 7605448 11408172 15210896 16161577 21865663 22816344 30421792 32323154 43731326 45632688 48484731 60843584 64646308 65596989 87462652 91265376 96969462 121687168 129292616 131193978 174925304 182530752 193938924 258585232 262387956 349850608 365061504 371716271 387877848 517170464 524775912 699701216 743432542 775755696 1034340928 1049551824 1115148813 1399402432 1486865084 1551511392 2068681856 2099103648 2230297626 2798804864 2973730168 3103022784 4198207296 4460595252 5947460336 6206045568 8396414592 8921190504 11894920672 17842381008 23789841344 35684762016 47579682688 71369524032 142739048064