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131446000305450 = 232523741192552553
BaseRepresentation
bin11101111000110010101000…
…001001111100010100101010
3122020102010002202200201102100
4131320302220021330110222
5114212102402034233300
61143321243042514230
736454442265412305
oct3570625011742452
9566363082621370
10131446000305450
1138978a32422886
12128ab147665976
1358463c63b63bc
14246603dc23b3c
15102e32ad88700
hex778ca827c52a

131446000305450 has 144 divisors (see below), whose sum is σ = 371542476306456. Its totient is φ = 33273080985600.

The previous prime is 131446000305439. The next prime is 131446000305457. The reversal of 131446000305450 is 54503000644131.

131446000305450 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 4 + 600 + 0 + 3 + 0 + 5 + 45 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 27544327496361 + 103901672809089 = 5248269^2 + 10193217^2 .

It is a super-2 number, since 2×1314460003054502 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131446000305457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 95593627 + ... + 96958926.

Almost surely, 2131446000305450 is an apocalyptic number.

131446000305450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131446000305450 is an abundant number, since it is smaller than the sum of its proper divisors (240096476001006).

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

131446000305450 is a wasteful number, since it uses less digits than its factorization.

131446000305450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192552649 (or 192552641 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 131446000305450 its reverse (54503000644131), we get a palindrome (185949000949581).

The spelling of 131446000305450 in words is "one hundred thirty-one trillion, four hundred forty-six billion, three hundred five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 41 45 50 74 75 82 90 111 123 150 185 205 222 225 246 333 369 370 410 450 555 615 666 738 925 1025 1110 1230 1517 1665 1845 1850 2050 2775 3034 3075 3330 3690 4551 5550 6150 7585 8325 9102 9225 13653 15170 16650 18450 22755 27306 37925 45510 68265 75850 113775 136530 227550 341325 682650 192552553 385105106 577657659 962762765 1155315318 1732972977 1925525530 2888288295 3465945954 4813813825 5776576590 7124444461 7894654673 8664864885 9627627650 14248888922 14441441475 15789309346 17329729770 21373333383 23683964019 28882882950 35622222305 39473273365 42746666766 43324324425 47367928038 64120000149 71051892057 71244444610 78946546730 86648648850 106866666915 118419820095 128240000298 142103784114 178111111525 197366366825 213733333830 236839640190 292102222901 320600000745 355259460285 356222223050 394732733650 534333334575 584204445802 592099100475 641200001490 710518920570 876306668703 1068666669150 1184198200950 1460511114505 1603000003725 1752613337406 1776297301425 2628920006109 2921022229010 3206000007450 3552594602850 4381533343515 5257840012218 7302555572525 8763066687030 13144600030545 14605111145050 21907666717575 26289200061090 43815333435150 65723000152725 131446000305450