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34148908443 = 31322922832
BaseRepresentation
bin11111110011011011…
…101111110110011011
310021010220012021210210
4133303123233312123
51024414110032233
623404321342203
72316145634556
oct376333576633
9107126167723
1034148908443
1113534194391
126750497963
1332b2ac2900
14191d48169d
15d4ceb5163
hex7f36efd9b

34148908443 has 54 divisors (see below), whose sum is σ = 51243574356. Its totient is φ = 20218371264.

The previous prime is 34148908403. The next prime is 34148908463. The reversal of 34148908443 is 34480984143.

It is not a de Polignac number, because 34148908443 - 26 = 34148908379 is a prime.

It is a super-2 number, since 2×341489084432 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34148908392 and 34148908401.

It is not an unprimeable number, because it can be changed into a prime (34148908403) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 120667380 + ... + 120667662.

Almost surely, 234148908443 is an apocalyptic number.

34148908443 is a deficient number, since it is larger than the sum of its proper divisors (17094665913).

34148908443 is an equidigital number, since it uses as much as digits as its factorization.

34148908443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

Multiplying 34148908443 by its sum of digits (48), we get a square (1639147605264 = 12802922).

The spelling of 34148908443 in words is "thirty-four billion, one hundred forty-eight million, nine hundred eight thousand, four hundred forty-three".

Divisors: 1 3 13 29 39 87 169 283 377 507 841 849 1131 2523 3679 4901 8207 10933 11037 14703 24621 32799 47827 80089 106691 142129 143481 238003 240267 320073 426387 714009 1041157 1386983 2322581 3094039 3123471 4160949 6967743 9282117 13535041 30193553 40222507 40605123 67354849 90580659 120667521 202064547 392516189 875613037 1177548567 2626839111 11382969481 34148908443