Search a number
-
+
350031451023324 = 22327219431012404723
BaseRepresentation
bin100111110010110100000110…
…0010011000110011111011100
31200220100200100122202101011200
41033211220030103012133130
5331334403402430221244
63240242121222115500
7133504636443411600
oct11745501423063734
91626320318671150
10350031451023324
11a159256088a974
123331253487bb90
1312040a939c4765
14626188107d500
152a701c46ba669
hex13e5a0c4c67dc

350031451023324 has 432 divisors, whose sum is σ = 1119603712106880. Its totient is φ = 91625679532800.

The previous prime is 350031451023311. The next prime is 350031451023341. The reversal of 350031451023324 is 423320154130053.

350031451023324 is a `hidden beast` number, since 3 + 5 + 0 + 0 + 314 + 5 + 1 + 0 + 2 + 332 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 144357627 + ... + 146762349.

Almost surely, 2350031451023324 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 350031451023324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559801856053440).

350031451023324 is an abundant number, since it is smaller than the sum of its proper divisors (769572261083556).

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

350031451023324 is a wasteful number, since it uses less digits than its factorization.

350031451023324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404910 (or 2404898 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 350031451023324 in words is "three hundred fifty trillion, thirty-one billion, four hundred fifty-one million, twenty-three thousand, three hundred twenty-four".