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34143755952 = 2435913788003
BaseRepresentation
bin11111110011001000…
…000101111010110000
310021010112111111220210
4133303020011322300
51024411300142302
623404015104120
72316054064665
oct376310057260
9107115444823
1034143755952
1113531295229
12674a812040
1332b1a0a5b7
14191c8dda6c
15d4c7e866c
hex7f3205eb0

34143755952 has 80 divisors (see below), whose sum is σ = 90355466880. Its totient is φ = 11106556416.

The previous prime is 34143755951. The next prime is 34143755981. The reversal of 34143755952 is 25955734143.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (34143755951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343983 + ... + 431985.

It is an arithmetic number, because the mean of its divisors is an integer number (1129443336).

Almost surely, 234143755952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34143755952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45177733440).

34143755952 is an abundant number, since it is smaller than the sum of its proper divisors (56211710928).

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

34143755952 is a wasteful number, since it uses less digits than its factorization.

34143755952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88210 (or 88204 counting only the distinct ones).

The product of its digits is 2268000, while the sum is 48.

The spelling of 34143755952 in words is "thirty-four billion, one hundred forty-three million, seven hundred fifty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 137 177 236 274 354 411 472 548 708 822 944 1096 1416 1644 2192 2832 3288 6576 8083 16166 24249 32332 48498 64664 88003 96996 129328 176006 193992 264009 352012 387984 528018 704024 1056036 1408048 2112072 4224144 5192177 10384354 12056411 15576531 20768708 24112822 31153062 36169233 41537416 48225644 62306124 72338466 83074832 96451288 124612248 144676932 192902576 249224496 289353864 578707728 711328249 1422656498 2133984747 2845312996 4267969494 5690625992 8535938988 11381251984 17071877976 34143755952