Search a number
-
+
12355203413040 = 2435304916884229
BaseRepresentation
bin1011001111001010101110…
…0000101011010000110000
31121202010221100222001221220
42303302223200223100300
53104411424033204130
642135522503545040
72413430313136125
oct263625340532060
947663840861856
1012355203413040
113a338a3255404
12147663075b180
136b81242ca727
14309dd054274c
151665c1bab410
hexb3cab82b430

12355203413040 has 80 divisors (see below), whose sum is σ = 38313694716000. Its totient is φ = 3293640124416.

The previous prime is 12355203413027. The next prime is 12355203413083. The reversal of 12355203413040 is 4031430255321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12355203412992 and 12355203413010.

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, 7710355 + ... + 9173874.

It is an arithmetic number, because the mean of its divisors is an integer number (478921183950).

Almost surely, 212355203413040 is an apocalyptic number.

12355203413040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12355203413040 is an abundant number, since it is smaller than the sum of its proper divisors (25958491302960).

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

12355203413040 is a wasteful number, since it uses less digits than its factorization.

12355203413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16887294 (or 16887288 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 12355203413040 its reverse (4031430255321), we get a palindrome (16386633668361).

The spelling of 12355203413040 in words is "twelve trillion, three hundred fifty-five billion, two hundred three million, four hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3049 6098 9147 12196 15245 18294 24392 30490 36588 45735 48784 60980 73176 91470 121960 146352 182940 243920 365880 731760 16884229 33768458 50652687 67536916 84421145 101305374 135073832 168842290 202610748 253263435 270147664 337684580 405221496 506526870 675369160 810442992 1013053740 1350738320 2026107480 4052214960 51480014221 102960028442 154440042663 205920056884 257400071105 308880085326 411840113768 514800142210 617760170652 772200213315 823680227536 1029600284420 1235520341304 1544400426630 2059200568840 2471040682608 3088800853260 4118401137680 6177601706520 12355203413040