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334150501040 = 245113334311057
BaseRepresentation
bin1001101110011001110…
…11000000001010110000
31011221111112010020011222
410313030323000022300
520433320012013130
6413301232524212
733066363252326
oct4671473001260
91157445106158
10334150501040
11119792279184
12549163b0668
132568305b385
141225c8b9d16
158a5a88ace5
hex4dccec02b0

334150501040 has 80 divisors (see below), whose sum is σ = 784080494208. Its totient is φ = 132425760768.

The previous prime is 334150501007. The next prime is 334150501099. The reversal of 334150501040 is 40105051433.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3341505010402 (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 30215192 + ... + 30226248.

Almost surely, 2334150501040 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 334150501040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392040247104).

334150501040 is an abundant number, since it is smaller than the sum of its proper divisors (449929993168).

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

334150501040 is a wasteful number, since it uses less digits than its factorization.

334150501040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14526 (or 14520 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 334150501040 its reverse (40105051433), we get a palindrome (374255552473).

The spelling of 334150501040 in words is "three hundred thirty-four billion, one hundred fifty million, five hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 3343 4520 6686 9040 11057 13372 16715 22114 26744 33430 44228 53488 55285 66860 88456 110570 133720 176912 221140 267440 377759 442280 755518 884560 1249441 1511036 1888795 2498882 3022072 3777590 4997764 6044144 6247205 7555180 9995528 12494410 15110360 19991056 24988820 30220720 36963551 49977640 73927102 99955280 147854204 184817755 295708408 369635510 591416816 739271020 1478542040 2957084080 4176881263 8353762526 16707525052 20884406315 33415050104 41768812630 66830100208 83537625260 167075250520 334150501040