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133034404422420 = 223251986137212629
BaseRepresentation
bin11110001111111001111100…
…011010110010001100010100
3122110000222001101021022022100
4132033321330122302030110
5114414113430013004140
61150535054531402100
740010263362552234
oct3617717432621424
9573028041238270
10133034404422420
1139430635107766
1212b06b60a53330
135930123acb097
1424bcc84449cc4
15105a7e4425530
hex78fe7c6b2314

133034404422420 has 72 divisors (see below), whose sum is σ = 403558022354760. Its totient is φ = 35474054019840.

The previous prime is 133034404422419. The next prime is 133034404422427. The reversal of 133034404422420 is 24224404430331.

133034404422420 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 3 + 4 + 404 + 4 + 2 + 242 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3199819750416 + 129834584672004 = 1788804^2 + 11394498^2 .

It is a super-4 number, since 4×1330344044224204 (a number of 58 digits) contains 4444 as substring.

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 (133034404422427) 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, 15031335 + ... + 22181294.

It is an arithmetic number, because the mean of its divisors is an integer number (5604972532705).

Almost surely, 2133034404422420 is an apocalyptic number.

133034404422420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133034404422420 is an abundant number, since it is smaller than the sum of its proper divisors (270523617932340).

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

133034404422420 is a wasteful number, since it uses less digits than its factorization.

133034404422420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37232505 (or 37232500 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 133034404422420 its reverse (24224404430331), we get a palindrome (157258808852751).

The spelling of 133034404422420 in words is "one hundred thirty-three trillion, thirty-four billion, four hundred four million, four hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 19861 39722 59583 79444 99305 119166 178749 198610 238332 297915 357498 397220 595830 714996 893745 1191660 1787490 3574980 37212629 74425258 111637887 148850516 186063145 223275774 334913661 372126290 446551548 558189435 669827322 744252580 1116378870 1339654644 1674568305 2232757740 3349136610 6698273220 739080024569 1478160049138 2217240073707 2956320098276 3695400122845 4434480147414 6651720221121 7390800245690 8868960294828 11086200368535 13303440442242 14781600491380 22172400737070 26606880884484 33258601105605 44344801474140 66517202211210 133034404422420