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1415024234112 = 27361178933767
BaseRepresentation
bin10100100101110110000…
…001000100111010000000
312000021102110201222010010
4110211312001010322000
5141140432200442422
63002015252104520
7204142422351606
oct24456601047200
95007373658103
101415024234112
114a61213217a5
121aa2a8905140
13a3589489628
144c6b7b3b876
1526c1c15eb0c
hex14976044e80

1415024234112 has 128 divisors (see below), whose sum is σ = 3822524092800. Its totient is φ = 463669309440.

The previous prime is 1415024234093. The next prime is 1415024234123. The reversal of 1415024234112 is 2114324205141.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1415024234112.

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, 41888653 + ... + 41922419.

It is an arithmetic number, because the mean of its divisors is an integer number (29863469475).

Almost surely, 21415024234112 is an apocalyptic number.

1415024234112 is a gapful number since it is divisible by the number (12) 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 1415024234112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911262046400).

1415024234112 is an abundant number, since it is smaller than the sum of its proper divisors (2407499858688).

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

1415024234112 is a wasteful number, since it uses less digits than its factorization.

1415024234112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35634 (or 35622 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 1415024234112 its reverse (2114324205141), we get a palindrome (3529348439253).

The spelling of 1415024234112 in words is "one trillion, four hundred fifteen billion, twenty-four million, two hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 366 384 488 732 976 1464 1789 1952 2928 3578 3904 5367 5856 7156 7808 10734 11712 14312 21468 23424 28624 33767 42936 57248 67534 85872 101301 109129 114496 135068 171744 202602 218258 228992 270136 327387 343488 405204 436516 540272 654774 686976 810408 873032 1080544 1309548 1620816 1746064 2059787 2161088 2619096 3241632 3492128 4119574 4322176 5238192 6179361 6483264 6984256 8239148 10476384 12358722 12966528 13968512 16478296 20952768 24717444 32956592 41905536 49434888 60409163 65913184 98869776 120818326 131826368 181227489 197739552 241636652 263652736 362454978 395479104 483273304 724909956 790958208 966546608 1449819912 1933093216 2899639824 3684958943 3866186432 5799279648 7369917886 7732372864 11054876829 11598559296 14739835772 22109753658 23197118592 29479671544 44219507316 58959343088 88439014632 117918686176 176878029264 235837372352 353756058528 471674744704 707512117056 1415024234112