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1214024144432 = 241123674014261
BaseRepresentation
bin10001101010101001011…
…110100101011000110000
311022001121102121110111012
4101222221132211120300
5124342310140110212
62325414234410052
7153465435651341
oct21525136453060
94261542543435
101214024144432
11428956a86400
12177352290928
138a635bcb518
1442a8acc80c8
15218a5edc922
hex11aa97a5630

1214024144432 has 120 divisors (see below), whose sum is σ = 2599564825536. Its totient is φ = 548824320000.

The previous prime is 1214024144429. The next prime is 1214024144447. The reversal of 1214024144432 is 2344414204121.

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 23 ways as a sum of consecutive naturals, for example, 284913182 + ... + 284917442.

Almost surely, 21214024144432 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 1214024144432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299782412768).

1214024144432 is an abundant number, since it is smaller than the sum of its proper divisors (1385540681104).

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

1214024144432 is a wasteful number, since it uses less digits than its factorization.

1214024144432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5059 (or 5042 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 1214024144432 its reverse (2344414204121), we get a palindrome (3558438348553).

The spelling of 1214024144432 in words is "one trillion, two hundred fourteen billion, twenty-four million, one hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 367 401 484 734 802 968 1468 1604 1936 2936 3208 4037 4261 4411 5872 6416 8074 8522 8822 16148 17044 17644 32296 34088 35288 44407 46871 48521 64592 68176 70576 88814 93742 97042 147167 177628 187484 194084 294334 355256 374968 388168 515581 588668 710512 749936 776336 1031162 1177336 1563787 1618837 1708661 2062324 2354672 3127574 3237674 3417322 4124648 6255148 6475348 6834644 8249296 12510296 12950696 13669288 17201657 17807207 18795271 25020592 25901392 27338576 34403314 35614414 37590542 68806628 71228828 75181084 137613256 142457656 150362168 189218227 206747981 275226512 284915312 300724336 378436454 413495962 627078587 756872908 826991924 1254157174 1513745816 1653983848 2508314348 3027491632 3307967696 5016628696 6897864457 10033257392 13795728914 27591457828 55182915656 75876509027 110365831312 151753018054 303506036108 607012072216 1214024144432