Search a number
-
+
14960025441690 = 23571723917533403
BaseRepresentation
bin1101100110110010011100…
…0000001001010110011010
31221222011102220011102011220
43121230213000021112122
53430101113003113230
651452312452032510
73102553243100610
oct331544700112632
957864386142156
1014960025441690
11484856939a22a
12181742a302736
13846955507494
1439a0d784b6b0
151ae228005d10
hexd9b2700959a

14960025441690 has 128 divisors (see below), whose sum is σ = 43628719841280. Its totient is φ = 3204825351168.

The previous prime is 14960025441667. The next prime is 14960025441731. The reversal of 14960025441690 is 9614452006941.

It is a happy number.

It is a super-2 number, since 2×149600254416902 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a Curzon 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, 7913472 + ... + 9619931.

It is an arithmetic number, because the mean of its divisors is an integer number (340849373760).

Almost surely, 214960025441690 is an apocalyptic number.

14960025441690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14960025441690 is an abundant number, since it is smaller than the sum of its proper divisors (28668694399590).

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

14960025441690 is a wasteful number, since it uses less digits than its factorization.

14960025441690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17533676.

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 14960025441690 in words is "fourteen trillion, nine hundred sixty billion, twenty-five million, four hundred forty-one thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 239 255 357 478 510 595 714 717 1190 1195 1434 1673 1785 2390 3346 3570 3585 4063 5019 7170 8126 8365 10038 12189 16730 20315 24378 25095 28441 40630 50190 56882 60945 85323 121890 142205 170646 284410 426615 853230 17533403 35066806 52600209 87667015 105200418 122733821 175334030 245467642 263001045 298067851 368201463 526002090 596135702 613669105 736402926 894203553 1227338210 1490339255 1788407106 1841007315 2086474957 2980678510 3682014630 4172949914 4190483317 4471017765 6259424871 8380966634 8942035530 10432374785 12518849742 12571449951 20864749570 20952416585 25142899902 29333383219 31297124355 41904833170 58666766438 62594248710 62857249755 71238216389 88000149657 125714499510 142476432778 146666916095 176000299314 213714649167 293333832190 356191081945 427429298334 440000748285 498667514723 712382163890 880001496570 997335029446 1068573245835 1496002544169 2137146491670 2493337573615 2992005088338 4986675147230 7480012720845 14960025441690