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1214144035232 = 254125113212791
BaseRepresentation
bin10001101010110000100…
…111111011100110100000
311022001220210012112202012
4101222300213323212200
5124343031333111412
62325434200212052
7153501423006242
oct21526047734640
94261823175665
101214144035232
11428a08723107
1217738646a028
138a6549b781b
1442a9cbb6092
15218b17c0c22
hex11ab09fb9a0

1214144035232 has 96 divisors (see below), whose sum is σ = 2461145275008. Its totient is φ = 589248000000.

The previous prime is 1214144035229. The next prime is 1214144035261. The reversal of 1214144035232 is 2325304414121.

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

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, 435019757 + ... + 435022547.

It is an arithmetic number, because the mean of its divisors is an integer number (25636929948).

Almost surely, 21214144035232 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 1214144035232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230572637504).

1214144035232 is an abundant number, since it is smaller than the sum of its proper divisors (1247001239776).

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

1214144035232 is a wasteful number, since it uses less digits than its factorization.

1214144035232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4414 (or 4406 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 1214144035232 its reverse (2325304414121), we get a palindrome (3539448449353).

The spelling of 1214144035232 in words is "one trillion, two hundred fourteen billion, one hundred forty-four million, thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 82 164 251 328 502 656 1004 1312 1321 2008 2642 2791 4016 5284 5582 8032 10291 10568 11164 20582 21136 22328 41164 42272 44656 54161 82328 89312 108322 114431 164656 216644 228862 329312 331571 433288 457724 663142 700541 866576 915448 1326284 1401082 1733152 1830896 2652568 2802164 3661792 3686911 5305136 5604328 7373822 10610272 11208656 13594411 14747644 22417312 27188822 28722181 29495288 54377644 57444362 58990576 108755288 114888724 117981152 151163351 217510576 229777448 302326702 435021152 459554896 604653404 919109792 925414661 1209306808 1850829322 2418613616 3701658644 4837227232 7403317288 14806634576 29613269152 37942001101 75884002202 151768004404 303536008808 607072017616 1214144035232