Search a number
-
+
335142405500 = 22537181529033
BaseRepresentation
bin1001110000010000000…
…10110100010101111100
31012001001122120012022012
410320020002310111330
520442332423434000
6413543504510352
733133066305140
oct4701002642574
91161048505265
10335142405500
1111a151172731
1254b5261b3b8
13257b06c27a6
141231451b220
158ab79bd735
hex4e080b457c

335142405500 has 96 divisors (see below), whose sum is σ = 841138666368. Its totient is φ = 114270912000.

The previous prime is 335142405497. The next prime is 335142405511. The reversal of 335142405500 is 5504241533.

It is a happy number.

It is a super-2 number, since 2×3351424055002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368984 + ... + 898016.

It is an arithmetic number, because the mean of its divisors is an integer number (8761861108).

Almost surely, 2335142405500 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 335142405500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420569333184).

335142405500 is an abundant number, since it is smaller than the sum of its proper divisors (505996260868).

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

335142405500 is a wasteful number, since it uses less digits than its factorization.

335142405500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529240 (or 529228 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 335142405500 in words is "three hundred thirty-five billion, one hundred forty-two million, four hundred five thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 181 250 350 362 500 700 724 875 905 1267 1750 1810 2534 3500 3620 4525 5068 6335 9050 12670 18100 22625 25340 31675 45250 63350 90500 126700 158375 316750 529033 633500 1058066 2116132 2645165 3703231 5290330 7406462 10580660 13225825 14812924 18516155 26451650 37032310 52903300 66129125 74064620 92580775 95754973 132258250 185161550 191509946 264516500 370323100 383019892 462903875 478774865 670284811 925807750 957549730 1340569622 1851615500 1915099460 2393874325 2681139244 3351424055 4787748650 6702848110 9575497300 11969371625 13405696220 16757120275 23938743250 33514240550 47877486500 67028481100 83785601375 167571202750 335142405500