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33023130144 = 2531198728697
BaseRepresentation
bin11110110000010101…
…001111101000100000
310011020102211211022020
4132300111033220200
51020112410131034
623100504141440
72246225655234
oct366025175040
9104212754266
1033023130144
11130067724a4
126497467880
1331637b76c4
141853b525c4
15cd423b249
hex7b054fa20

33023130144 has 48 divisors (see below), whose sum is σ = 86695969248. Its totient is φ = 11006408192.

The previous prime is 33023130143. The next prime is 33023130191. The reversal of 33023130144 is 44103132033.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×330231301442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (33023130143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1136404 + ... + 1165100.

It is an arithmetic number, because the mean of its divisors is an integer number (1806166026).

Almost surely, 233023130144 is an apocalyptic number.

It is an amenable number.

33023130144 is an abundant number, since it is smaller than the sum of its proper divisors (53672839104).

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

33023130144 is a wasteful number, since it uses less digits than its factorization.

33023130144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40697 (or 40689 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 33023130144 its reverse (44103132033), we get a palindrome (77126262177).

The spelling of 33023130144 in words is "thirty-three billion, twenty-three million, one hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 11987 23974 28697 35961 47948 57394 71922 86091 95896 114788 143844 172182 191792 229576 287688 344364 383584 459152 575376 688728 918304 1150752 1377456 2754912 343990939 687981878 1031972817 1375963756 2063945634 2751927512 4127891268 5503855024 8255782536 11007710048 16511565072 33023130144