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146326121040 = 24351155426561
BaseRepresentation
bin1000100001000110110…
…1110110101001010000
3111222200201102010101110
42020101231312221100
54344133441333130
6151115444333320
713400045335611
oct2102155665120
9458621363343
10146326121040
115706930a550
12244383a4240
1310a4c3a3098
14712188dc08
153c162c7ab0
hex2211b76a50

146326121040 has 80 divisors (see below), whose sum is σ = 494848345536. Its totient is φ = 35472998400.

The previous prime is 146326120933. The next prime is 146326121057. The reversal of 146326121040 is 40121623641.

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

It is a super-2 number, since 2×1463261210402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 146326120989 and 146326121007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27710641 + ... + 27715920.

Almost surely, 2146326121040 is an apocalyptic number.

146326121040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146326121040 is an abundant number, since it is smaller than the sum of its proper divisors (348522224496).

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

146326121040 is a wasteful number, since it uses less digits than its factorization.

146326121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55426588 (or 55426582 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 146326121040 its reverse (40121623641), we get a palindrome (186447744681).

The spelling of 146326121040 in words is "one hundred forty-six billion, three hundred twenty-six million, one hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 55426561 110853122 166279683 221706244 277132805 332559366 443412488 554265610 609692171 665118732 831398415 886824976 1108531220 1219384342 1330237464 1662796830 1829076513 2217062440 2438768684 2660474928 3048460855 3325593660 3658153026 4434124880 4877537368 6096921710 6651187320 7316306052 9145382565 9755074736 12193843420 13302374640 14632612104 18290765130 24387686840 29265224208 36581530260 48775373680 73163060520 146326121040