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32138150040 = 23325181493219
BaseRepresentation
bin11101111011100101…
…010100000010011000
310001221202121011211100
4131323211110002120
51011304331300130
622433012031400
72215261524303
oct357345240230
9101852534740
1032138150040
11126a2169887
12628b002560
13305234c739
1417ac3c5b3a
15c816c9c60
hex77b954098

32138150040 has 96 divisors (see below), whose sum is σ = 105026266800. Its totient is φ = 8522807040.

The previous prime is 32138149921. The next prime is 32138150053. The reversal of 32138150040 is 4005183123.

It is a happy number.

32138150040 is a `hidden beast` number, since 32 + 13 + 81 + 500 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 32138149986 and 32138150013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181450 + ... + 311769.

Almost surely, 232138150040 is an apocalyptic number.

32138150040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32138150040 is an abundant number, since it is smaller than the sum of its proper divisors (72888116760).

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

32138150040 is a wasteful number, since it uses less digits than its factorization.

32138150040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493417 (or 493410 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 32138150040 in words is "thirty-two billion, one hundred thirty-eight million, one hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 181 360 362 543 724 905 1086 1448 1629 1810 2172 2715 3258 3620 4344 5430 6516 7240 8145 10860 13032 16290 21720 32580 65160 493219 986438 1479657 1972876 2466095 2959314 3945752 4438971 4932190 5918628 7398285 8877942 9864380 11837256 14796570 17755884 19728760 22194855 29593140 35511768 44389710 59186280 88779420 89272639 177558840 178545278 267817917 357090556 446363195 535635834 714181112 803453751 892726390 1071271668 1339089585 1606907502 1785452780 2142543336 2678179170 3213815004 3570905560 4017268755 5356358340 6427630008 8034537510 10712716680 16069075020 32138150040