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130400414503452 = 223219892142066077
BaseRepresentation
bin11101101001100100110110…
…011000101001001000011100
3122002201011021002112121121100
4131221210312120221020130
5114042440022103102302
61141201042354233100
736316055555631402
oct3551446630511034
9562634232477540
10130400414503452
1138605561501165
1212760582b85790
13579b924a42432
14242b5b141d472
15101203256cd1c
hex76993662921c

130400414503452 has 72 divisors (see below), whose sum is σ = 350870423576400. Its totient is φ = 40716391972608.

The previous prime is 130400414503393. The next prime is 130400414503459. The reversal of 130400414503452 is 254305414004031.

130400414503452 is a `hidden beast` number, since 1 + 30 + 40 + 0 + 41 + 4 + 503 + 45 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130400414503459) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1070972163 + ... + 1071093914.

It is an arithmetic number, because the mean of its divisors is an integer number (4873200327450).

Almost surely, 2130400414503452 is an apocalyptic number.

130400414503452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130400414503452 is an abundant number, since it is smaller than the sum of its proper divisors (220470009072948).

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

130400414503452 is a wasteful number, since it uses less digits than its factorization.

130400414503452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142066195 (or 2142066190 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 130400414503452 its reverse (254305414004031), we get a palindrome (384705828507483).

The spelling of 130400414503452 in words is "one hundred thirty trillion, four hundred billion, four hundred fourteen million, five hundred three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 89 114 171 178 228 267 342 356 534 684 801 1068 1602 1691 3204 3382 5073 6764 10146 15219 20292 30438 60876 2142066077 4284132154 6426198231 8568264308 12852396462 19278594693 25704792924 38557189386 40699255463 77114378772 81398510926 122097766389 162797021852 190643880853 244195532778 366293299167 381287761706 488391065556 571931642559 732586598334 762575523412 1143863285118 1465173196668 1715794927677 2287726570236 3431589855354 3622233736207 6863179710708 7244467472414 10866701208621 14488934944828 21733402417242 32600103625863 43466804834484 65200207251726 130400414503452