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134323034041400 = 23521980694380737
BaseRepresentation
bin11110100010101010000100…
…101110101010110000111000
3122121121011020012020120001112
4132202222010232222300320
5120101222033203311100
61153403052220335452
740202343000600011
oct3642520456526070
9577534205216045
10134323034041400
1139888095a16346
12130948543a4588
1359c47b9329cc9
1425253ab870008
15107e0b4ee8b35
hex7a2a84baac38

134323034041400 has 96 divisors (see below), whose sum is σ = 328778767638000. Its totient is φ = 50895040389120.

The previous prime is 134323034041373. The next prime is 134323034041423. The reversal of 134323034041400 is 4140430323431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28471832 + ... + 32852568.

Almost surely, 2134323034041400 is an apocalyptic number.

134323034041400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134323034041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164389383819000).

134323034041400 is an abundant number, since it is smaller than the sum of its proper divisors (194455733596600).

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

134323034041400 is a wasteful number, since it uses less digits than its factorization.

134323034041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4388841 (or 4388832 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 134323034041400 its reverse (4140430323431), we get a palindrome (138463464364831).

The spelling of 134323034041400 in words is "one hundred thirty-four trillion, three hundred twenty-three billion, thirty-four million, forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 8069 16138 32276 40345 64552 80690 153311 161380 201725 306622 322760 403450 613244 766555 806900 1226488 1533110 1613800 3066220 3832775 4380737 6132440 7665550 8761474 15331100 17522948 21903685 30662200 35045896 43807370 83234003 87614740 109518425 166468006 175229480 219036850 332936012 416170015 438073700 665872024 832340030 876147400 1664680060 2080850075 3329360120 4161700150 8323400300 16646800600 35348166853 70696333706 141392667412 176740834265 282785334824 353481668530 671615170207 706963337060 883704171325 1343230340414 1413926674120 1767408342650 2686460680828 3358075851035 3534816685300 5372921361656 6716151702070 7069633370600 13432303404140 16790379255175 26864606808280 33580758510350 67161517020700 134323034041400