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35138302440 = 23352318017069
BaseRepresentation
bin100000101110011001…
…111111000111101000
310100200211220201012220
4200232121333013220
51033430401134230
624050423434040
72352521433303
oct405631770750
9110624821186
1035138302440
11139a172377a
1269878b5920
13340ca88447
1419b4a2bb3a
15da9c9dd10
hex82e67f1e8

35138302440 has 128 divisors (see below), whose sum is σ = 110074809600. Its totient is φ = 8956569600.

The previous prime is 35138302427. The next prime is 35138302453. The reversal of 35138302440 is 4420383153.

It is an interprime number because it is at equal distance from previous prime (35138302427) and next prime (35138302453).

It is a super-3 number, since 3×351383024403 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4967226 + ... + 4974294.

It is an arithmetic number, because the mean of its divisors is an integer number (859959450).

Almost surely, 235138302440 is an apocalyptic number.

35138302440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35138302440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55037404800).

35138302440 is an abundant number, since it is smaller than the sum of its proper divisors (74936507160).

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

35138302440 is a wasteful number, since it uses less digits than its factorization.

35138302440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8907 (or 8903 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 35138302440 its reverse (4420383153), we get a palindrome (39558685593).

The spelling of 35138302440 in words is "thirty-five billion, one hundred thirty-eight million, three hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 1801 2760 3602 5403 7069 7204 9005 10806 14138 14408 18010 21207 21612 27015 28276 35345 36020 41423 42414 43224 54030 56552 70690 72040 82846 84828 106035 108060 124269 141380 162587 165692 169656 207115 212070 216120 248538 282760 325174 331384 414230 424140 487761 497076 621345 650348 812935 828460 848280 975522 994152 1242690 1300696 1625870 1656920 1951044 2438805 2485380 3251740 3902088 4877610 4970760 6503480 9755220 12731269 19510440 25462538 38193807 50925076 63656345 76387614 101850152 127312690 152775228 190969035 254625380 292819187 305550456 381938070 509250760 585638374 763876140 878457561 1171276748 1464095935 1527752280 1756915122 2342553496 2928191870 3513830244 4392287805 5856383740 7027660488 8784575610 11712767480 17569151220 35138302440