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155335450144 = 2572633737069
BaseRepresentation
bin1001000010101010110…
…1101101111000100000
3112211221121001110112011
42100222231231320200
510021111333401034
6155205441442304
714136233353330
oct2205255557040
9484847043464
10155335450144
115a9718a2886
1226131640394
1311856a6b754
1477382130c0
1540921e8864
hex242ab6de20

155335450144 has 96 divisors (see below), whose sum is σ = 351824014080. Its totient is φ = 66132052992.

The previous prime is 155335450139. The next prime is 155335450177. The reversal of 155335450144 is 441054533551.

It is a junction number, because it is equal to n+sod(n) for n = 155335450097 and 155335450106.

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, 21970642 + ... + 21977710.

It is an arithmetic number, because the mean of its divisors is an integer number (3664833480).

Almost surely, 2155335450144 is an apocalyptic number.

155335450144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155335450144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175912007040).

155335450144 is an abundant number, since it is smaller than the sum of its proper divisors (196488563936).

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

155335450144 is a wasteful number, since it uses less digits than its factorization.

155335450144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7722 (or 7714 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

Adding to 155335450144 its reverse (441054533551), we get a palindrome (596389983695).

The spelling of 155335450144 in words is "one hundred fifty-five billion, three hundred thirty-five million, four hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 263 373 526 746 1052 1492 1841 2104 2611 2984 3682 4208 5222 5968 7069 7364 8416 10444 11936 14138 14728 20888 28276 29456 41776 49483 56552 58912 83552 98099 98966 113104 196198 197932 226208 392396 395864 686693 784792 791728 1373386 1569584 1583456 1859147 2636737 2746772 3139168 3718294 5273474 5493544 7436588 10546948 10987088 13014029 14873176 18457159 21093896 21974176 26028058 29746352 36914318 42187792 52056116 59492704 73828636 84375584 104112232 147657272 208224464 295314544 416448928 590629088 693461831 1386923662 2773847324 4854232817 5547694648 9708465634 11095389296 19416931268 22190778592 38833862536 77667725072 155335450144