Search a number
-
+
12142398170760 = 23351113707598961
BaseRepresentation
bin1011000010110001111101…
…0101000110011010001000
31120222210122121100200100220
42300230133111012122020
53042420112412431020
641454050221030040
72362154642336214
oct260543725063210
946883577320326
1012142398170760
113961620241150
1214413406b5320
136a103c079a20
142dd9a3911944
15160cb9456240
hexb0b1f546688

12142398170760 has 128 divisors (see below), whose sum is σ = 42795585221760. Its totient is φ = 2717180006400.

The previous prime is 12142398170729. The next prime is 12142398170807. The reversal of 12142398170760 is 6707189324121.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353782321 + ... + 353816640.

It is an arithmetic number, because the mean of its divisors is an integer number (334340509545).

Almost surely, 212142398170760 is an apocalyptic number.

12142398170760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12142398170760 is an abundant number, since it is smaller than the sum of its proper divisors (30653187051000).

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

12142398170760 is a wasteful number, since it uses less digits than its factorization.

12142398170760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707598999 (or 707598995 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 12142398170760 in words is "twelve trillion, one hundred forty-two billion, three hundred ninety-eight million, one hundred seventy thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 780 858 1144 1320 1430 1560 1716 2145 2860 3432 4290 5720 8580 17160 707598961 1415197922 2122796883 2830395844 3537994805 4245593766 5660791688 7075989610 7783588571 8491187532 9198786493 10613984415 14151979220 15567177142 16982375064 18397572986 21227968830 23350765713 27596359479 28303958440 31134354284 36795145972 38917942855 42455937660 45993932465 46701531426 55192718958 62268708568 73590291944 77835885710 84911875320 91987864930 93403062852 101186651423 110385437916 116753828565 137981797395 155671771420 183975729860 186806125704 202373302846 220770875832 233507657130 275963594790 303559954269 311343542840 367951459720 404746605692 467015314260 505933257115 551927189580 607119908538 809493211384 934030628520 1011866514230 1103854379160 1214239817076 1517799771345 2023733028460 2428479634152 3035599542690 4047466056920 6071199085380 12142398170760