Search a number
-
+
131781785440240 = 24513463273678737
BaseRepresentation
bin11101111101101011010110…
…100000100100111111110000
3122021121012211012122221120001
4131331223112200210333300
5114233103044033041430
61144135414431355344
736520630331102665
oct3575532640447760
9567535735587501
10131781785440240
1138a98383378541
1212944239382b54
13586bc79cb5680
1424783b584ba6c
151037e2eeb53ca
hex77dad6824ff0

131781785440240 has 80 divisors (see below), whose sum is σ = 330673977260928. Its totient is φ = 48552797196288.

The previous prime is 131781785440229. The next prime is 131781785440259. The reversal of 131781785440240 is 42044587187131.

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

It is a super-2 number, since 2×1317817854402402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 136357849 + ... + 137320888.

Almost surely, 2131781785440240 is an apocalyptic number.

131781785440240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131781785440240 is an abundant number, since it is smaller than the sum of its proper divisors (198892191820688).

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

131781785440240 is a wasteful number, since it uses less digits than its factorization.

131781785440240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273679226 (or 273679220 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 55.

The spelling of 131781785440240 in words is "one hundred thirty-one trillion, seven hundred eighty-one billion, seven hundred eighty-five million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 463 520 926 1040 1852 2315 3704 4630 6019 7408 9260 12038 18520 24076 30095 37040 48152 60190 96304 120380 240760 481520 273678737 547357474 1094714948 1368393685 2189429896 2736787370 3557823581 4378859792 5473574740 7115647162 10947149480 14231294324 17789117905 21894298960 28462588648 35578235810 56925177296 71156471620 126713255231 142312943240 253426510462 284625886480 506853020924 633566276155 1013706041848 1267132552310 1647272318003 2027412083696 2534265104620 3294544636006 5068530209240 6589089272012 8236361590015 10137060418480 13178178544024 16472723180030 26356357088048 32945446360060 65890892720120 131781785440240