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1330112301144 = 2331131374392593
BaseRepresentation
bin10011010110110000110…
…111110000100001011000
311201011020210221211210220
4103112300313300201120
5133243032222114034
62455013430440040
7165045265004664
oct23266067604130
94634223854726
101330112301144
11473108799790
1219594bb03020
139857681c103
14485408a78a4
15248ec833749
hex135b0df0858

1330112301144 has 128 divisors (see below), whose sum is σ = 3845803898880. Its totient is φ = 379519948800.

The previous prime is 1330112301121. The next prime is 1330112301197. The reversal of 1330112301144 is 4411032110331.

It is a happy number.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1893489 + ... + 2499104.

It is an arithmetic number, because the mean of its divisors is an integer number (30045342960).

Almost surely, 21330112301144 is an apocalyptic number.

It is an amenable number.

1330112301144 is an abundant number, since it is smaller than the sum of its proper divisors (2515691597736).

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

1330112301144 is a wasteful number, since it uses less digits than its factorization.

1330112301144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392681 (or 4392677 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1330112301144 its reverse (4411032110331), we get a palindrome (5741144411475).

The spelling of 1330112301144 in words is "one trillion, three hundred thirty billion, one hundred twelve million, three hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 37 44 62 66 74 88 93 111 124 132 148 186 222 248 264 296 341 372 407 444 682 744 814 888 1023 1147 1221 1364 1628 2046 2294 2442 2728 3256 3441 4092 4588 4884 6882 8184 9176 9768 12617 13764 25234 27528 37851 50468 75702 100936 151404 302808 4392593 8785186 13177779 17570372 26355558 35140744 48318523 52711116 96637046 105422232 136170383 144955569 162525941 193274092 272340766 289911138 325051882 386548184 408511149 487577823 544681532 579822276 650103764 817022298 975155646 1089363064 1159644552 1300207528 1497874213 1634044596 1787785351 1950311292 2995748426 3268089192 3575570702 3900622584 4493622639 5038304171 5363356053 5991496852 7151141404 8987245278 10076608342 10726712106 11982993704 14302282808 15114912513 17974490556 20153216684 21453424212 30229825026 35948981112 40306433368 42906848424 55421345881 60459650052 110842691762 120919300104 166264037643 221685383524 332528075286 443370767048 665056150572 1330112301144