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1332112442144 = 251110735998519
BaseRepresentation
bin10011011000101000000…
…101101100001100100000
311201100102012120112110012
4103120220011230030200
5133311131241122034
62455544120424052
7165145662634601
oct23305005541440
94640365515405
101332112442144
11473a44822280
12196209918028
13988050156b3
144869039bda8
15249b8222cce
hex1362816c320

1332112442144 has 96 divisors (see below), whose sum is σ = 2895825945600. Its totient is φ = 598169770240.

The previous prime is 1332112442077. The next prime is 1332112442161. The reversal of 1332112442144 is 4412442112331.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1332112442144.

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, 13472117 + ... + 13570635.

It is an arithmetic number, because the mean of its divisors is an integer number (30164853600).

Almost surely, 21332112442144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332112442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447912972800).

1332112442144 is an abundant number, since it is smaller than the sum of its proper divisors (1563713503456).

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

1332112442144 is a wasteful number, since it uses less digits than its factorization.

1332112442144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99006 (or 98998 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

Adding to 1332112442144 its reverse (4412442112331), we get a palindrome (5744554554475).

The spelling of 1332112442144 in words is "one trillion, three hundred thirty-two billion, one hundred twelve million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 107 176 214 352 359 428 718 856 1177 1436 1712 2354 2872 3424 3949 4708 5744 7898 9416 11488 15796 18832 31592 37664 38413 63184 76826 98519 126368 153652 197038 307304 394076 422543 614608 788152 845086 1083709 1229216 1576304 1690172 2167418 3152608 3380344 4334836 6760688 8669672 10541533 13521376 17339344 21083066 34678688 35368321 42166132 70736642 84332264 115956863 141473284 168664528 231913726 282946568 337329056 389051531 463827452 565893136 778103062 927654904 1131786272 1556206124 1855309808 3112412248 3710619616 3784410347 6224824496 7568820694 12449648992 15137641388 30275282776 41628513817 60550565552 83257027634 121101131104 166514055268 333028110536 666056221072 1332112442144