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35132142234 = 2371729373089
BaseRepresentation
bin100000101110000010…
…011111001010011010
310100200102022202000010
4200232002133022122
51033422312022414
624050043422350
72352415165440
oct405602371232
9110612282003
1035132142234
11139991a64a2
1269858249b6
13340b70c557
1419b3ca6b90
15da9483959
hex82e09f29a

35132142234 has 96 divisors (see below), whose sum is σ = 85422234240. Its totient is φ = 9434161152.

The previous prime is 35132142211. The next prime is 35132142257. The reversal of 35132142234 is 43224123153.

It is an interprime number because it is at equal distance from previous prime (35132142211) and next prime (35132142257).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11371762 + ... + 11374850.

It is an arithmetic number, because the mean of its divisors is an integer number (889814940).

Almost surely, 235132142234 is an apocalyptic number.

35132142234 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 35132142234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42711117120).

35132142234 is an abundant number, since it is smaller than the sum of its proper divisors (50290092006).

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

35132142234 is a wasteful number, since it uses less digits than its factorization.

35132142234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4072 (or 4055 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

Adding to 35132142234 its reverse (43224123153), we get a palindrome (78356265387).

The spelling of 35132142234 in words is "thirty-five billion, one hundred thirty-two million, one hundred forty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 289 357 578 714 867 937 1734 1874 2023 2811 3089 4046 5622 6069 6178 6559 9267 12138 13118 15929 18534 19677 21623 31858 39354 43246 47787 52513 64869 95574 105026 111503 129738 157539 223006 270793 315078 334509 367591 541586 669018 735182 812379 892721 1102773 1624758 1785442 1895551 2205546 2678163 2894393 3791102 5356326 5686653 5788786 6249047 8683179 11373306 12498094 17366358 18747141 20260751 37494282 40521502 49204681 60782253 98409362 121564506 147614043 295228086 344432767 688865534 836479577 1033298301 1672959154 2066596602 2509438731 5018877462 5855357039 11710714078 17566071117 35132142234