Search a number
-
+
114031550504046 = 23729731637868053
BaseRepresentation
bin11001111011011000001010…
…000011111001110001101110
3112221202022100211002011010010
4121323120022003321301232
5104421243103412112141
61042305212054354050
733006336060423540
oct3173301203716156
9487668324064103
10114031550504046
113337456651049a
12109580b365b926
134b8218a757ba6
1420232295b7690
15d2b3504ba416
hex67b60a0f9c6e

114031550504046 has 128 divisors (see below), whose sum is σ = 275001705630720. Its totient is φ = 30835714065408.

The previous prime is 114031550504029. The next prime is 114031550504107. The reversal of 114031550504046 is 640405055130411.

It is a junction number, because it is equal to n+sod(n) for n = 114031550503995 and 114031550504013.

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, 10558956 + ... + 18427008.

It is an arithmetic number, because the mean of its divisors is an integer number (2148450825240).

Almost surely, 2114031550504046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114031550504046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137500852815360).

114031550504046 is an abundant number, since it is smaller than the sum of its proper divisors (160970155126674).

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

114031550504046 is a wasteful number, since it uses less digits than its factorization.

114031550504046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7868330.

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 114031550504046 in words is "one hundred fourteen trillion, thirty-one billion, five hundred fifty million, five hundred four thousand, forty-six".

Divisors: 1 2 3 6 7 14 21 29 42 58 73 87 146 163 174 203 219 326 406 438 489 511 609 978 1022 1141 1218 1533 2117 2282 3066 3423 4234 4727 6351 6846 9454 11899 12702 14181 14819 23798 28362 29638 33089 35697 44457 66178 71394 83293 88914 99267 166586 198534 249879 345071 499758 690142 1035213 2070426 2415497 4830994 7246491 7868053 14492982 15736106 23604159 47208318 55076371 110152742 165229113 228173537 330458226 456347074 574367869 684520611 1148735738 1282492639 1369041222 1597214759 1723103607 2564985278 3194429518 3446207214 3847477917 4020575083 4791644277 7694955834 8041150166 8977448473 9583288554 12061725249 16656668201 17954896946 24123450498 26932345419 33313336402 37192286531 49970004603 53864690838 74384573062 93621962647 99940009206 111576859593 116596677407 187243925294 223153719186 233193354814 260346005717 280865887941 349790032221 520692011434 561731775882 655353738529 699580064442 781038017151 1310707477058 1562076034302 1966061215587 2715036916763 3932122431174 5430073833526 8145110750289 16290221500578 19005258417341 38010516834682 57015775252023 114031550504046