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154007133324 = 223111961406353
BaseRepresentation
bin1000111101101110001…
…0100101110010001100
3112201112000120222101220
42033123202211302030
510010401311231244
6154425551203340
714061304014462
oct2173342456214
9481460528356
10154007133324
115a350014790
1225a20816550
13116a47ca975
14764da40832
1540157b3319
hex23db8a5c8c

154007133324 has 48 divisors (see below), whose sum is σ = 412650698880. Its totient is φ = 44212573440.

The previous prime is 154007133317. The next prime is 154007133331. The reversal of 154007133324 is 423331700451.

It is a happy number.

154007133324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (154007133317) and next prime (154007133331).

It is a super-2 number, since 2×1540071333242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30700669 + ... + 30705684.

It is an arithmetic number, because the mean of its divisors is an integer number (8596889560).

Almost surely, 2154007133324 is an apocalyptic number.

It is an amenable number.

154007133324 is an abundant number, since it is smaller than the sum of its proper divisors (258643565556).

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

154007133324 is a wasteful number, since it uses less digits than its factorization.

154007133324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61406390 (or 61406388 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

Adding to 154007133324 its reverse (423331700451), we get a palindrome (577338833775).

The spelling of 154007133324 in words is "one hundred fifty-four billion, seven million, one hundred thirty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 61406353 122812706 184219059 245625412 368438118 675469883 736876236 1166720707 1350939766 2026409649 2333441414 2701879532 3500162121 4052819298 4666882828 7000324242 8105638596 12833927777 14000648484 25667855554 38501783331 51335711108 77003566662 154007133324