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114713514006 = 23713299417699
BaseRepresentation
bin110101011010101110…
…1010101000000010110
3101222002120201022000220
41222311131111000112
53334413124422011
6124410524415210
711200464531540
oct1526535250026
9358076638026
10114713514006
1144716873a33
121a2953a7506
13aa81bacb50
1457a31cc690
152eb5d0e506
hex1ab5755016

114713514006 has 128 divisors (see below), whose sum is σ = 292457088000. Its totient is φ = 29176035840.

The previous prime is 114713513921. The next prime is 114713514017. The reversal of 114713514006 is 600415317411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14895945 + ... + 14903643.

It is an arithmetic number, because the mean of its divisors is an integer number (2284821000).

Almost surely, 2114713514006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114713514006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146228544000).

114713514006 is an abundant number, since it is smaller than the sum of its proper divisors (177743573994).

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

114713514006 is a wasteful number, since it uses less digits than its factorization.

114713514006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8694.

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 114713514006 in words is "one hundred fourteen billion, seven hundred thirteen million, five hundred fourteen thousand, six".

Divisors: 1 2 3 6 7 13 14 21 26 29 39 42 58 78 87 91 174 182 203 273 377 406 546 609 754 941 1131 1218 1882 2262 2639 2823 5278 5646 6587 7699 7917 12233 13174 15398 15834 19761 23097 24466 27289 36699 39522 46194 53893 54578 73398 81867 85631 100087 107786 161679 163734 171262 191023 200174 223271 256893 300261 323358 354757 382046 446542 513786 573069 600522 669813 700609 709514 1064271 1146138 1339626 1401218 1562897 2101827 2128542 2483299 2902523 3125794 4203654 4688691 4966598 5805046 7244759 7449897 8707569 9377382 14489518 14899794 17415138 20317661 21734277 40635322 43468554 50713313 60952983 94181867 101426626 121905966 152139939 188363734 210098011 282545601 304279878 420196022 565091202 630294033 659273069 1260588066 1318546138 1470686077 1977819207 2731274143 2941372154 3955638414 4412058231 5462548286 8193822429 8824116462 16387644858 19118919001 38237838002 57356757003 114713514006