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434136631434 = 231122651290399
BaseRepresentation
bin1100101000101001000…
…11110100100010001010
31112111120201122220220120
412110110203310202022
524103102434201214
6531234542404110
743236211323552
oct6242443644212
91474521586816
10434136631434
111581308a08a0
127017b590636
1331c28a22b3c
1417025b6a162
15b45d785ea9
hex65148f488a

434136631434 has 32 divisors (see below), whose sum is σ = 947252275200. Its totient is φ = 131550294000.

The previous prime is 434136631373. The next prime is 434136631463.

434136631434 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4341366314342 (a number of 24 digits) contains 22 as substring.

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, 1349767 + ... + 1640165.

It is an arithmetic number, because the mean of its divisors is an integer number (29601633600).

Almost surely, 2434136631434 is an apocalyptic number.

434136631434 is an abundant number, since it is smaller than the sum of its proper divisors (513115643766).

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

434136631434 is a wasteful number, since it uses less digits than its factorization.

434136631434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313066.

The product of its digits is 746496, while the sum is 42.

The spelling of 434136631434 in words is "four hundred thirty-four billion, one hundred thirty-six million, six hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 22651 45302 67953 135906 249161 290399 498322 580798 747483 871197 1494966 1742394 3194389 6388778 9583167 19166334 6577827749 13155655498 19733483247 39466966494 72356105239 144712210478 217068315717 434136631434