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35142423104 = 2619831911823
BaseRepresentation
bin100000101110101001…
…101101001001000000
310100201010200001201002
4200232221231021000
51033432430014404
624051052031132
72352601445015
oct405651551100
9110633601632
1035142423104
11139a3a88688
1269891624a8
13341089bbc9
1419b53c170c
15daa314c1e
hex82ea6d240

35142423104 has 112 divisors (see below), whose sum is σ = 74720378880. Its totient is φ = 16350773760.

The previous prime is 35142423101. The next prime is 35142423133. The reversal of 35142423104 is 40132424153.

It is not an unprimeable number, because it can be changed into a prime (35142423101) 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, 19276337 + ... + 19278159.

It is an arithmetic number, because the mean of its divisors is an integer number (667146240).

Almost surely, 235142423104 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 35142423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37360189440).

35142423104 is an abundant number, since it is smaller than the sum of its proper divisors (39577955776).

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

35142423104 is a wasteful number, since it uses less digits than its factorization.

35142423104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 35142423104 its reverse (40132424153), we get a palindrome (75274847257).

The spelling of 35142423104 in words is "thirty-five billion, one hundred forty-two million, four hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 83 152 166 191 304 332 382 608 664 764 1216 1328 1528 1577 1823 2656 3056 3154 3629 3646 5312 6112 6308 7258 7292 12224 12616 14516 14584 15853 25232 29032 29168 31706 34637 50464 58064 58336 63412 69274 100928 116128 116672 126824 138548 151309 232256 253648 277096 301207 302618 348193 507296 554192 602414 605236 696386 1014592 1108384 1204828 1210472 1392772 2216768 2409656 2420944 2785544 2874871 4819312 4841888 5571088 5749742 6615667 9638624 9683776 11142176 11499484 13231334 19277248 22284352 22998968 26462668 28900019 45997936 52925336 57800038 91995872 105850672 115600076 183991744 211701344 231200152 423402688 462400304 549100361 924800608 1098200722 1849601216 2196401444 4392802888 8785605776 17571211552 35142423104