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2142383430272 = 27233147499459
BaseRepresentation
bin11111001011010000000…
…000001101101010000000
321120210212101101112101112
4133023100000031222000
5240100100124232042
64320110344022452
7310532154456461
oct37132000155200
97523771345345
102142383430272
1175664165a408
122a725ba61a28
13127044b60027
1475998866d68
153aadd0a0982
hex1f2d000da80

2142383430272 has 128 divisors (see below), whose sum is σ = 4695083827200. Its totient is φ = 970466872320.

The previous prime is 2142383430259. The next prime is 2142383430289. The reversal of 2142383430272 is 2720343832412.

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

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, 4039679 + ... + 4539137.

It is an arithmetic number, because the mean of its divisors is an integer number (36680342400).

Almost surely, 22142383430272 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 2142383430272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347541913600).

2142383430272 is an abundant number, since it is smaller than the sum of its proper divisors (2552700396928).

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

2142383430272 is a wasteful number, since it uses less digits than its factorization.

2142383430272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499574 (or 499562 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 41.

The spelling of 2142383430272 in words is "two trillion, one hundred forty-two billion, three hundred eighty-three million, four hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 23 31 32 46 47 62 64 92 94 124 128 184 188 248 368 376 496 713 736 752 992 1081 1426 1457 1472 1504 1984 2162 2852 2914 2944 3008 3968 4324 5704 5828 6016 8648 11408 11656 17296 22816 23312 33511 34592 45632 46624 67022 69184 91264 93248 134044 138368 186496 268088 499459 536176 998918 1072352 1997836 2144704 3995672 4289408 7991344 11487557 15483229 15982688 22975114 23474573 30966458 31965376 45950228 46949146 61932916 63930752 91900456 93898292 123865832 183800912 187796584 247731664 356114267 367601824 375593168 495463328 539915179 712228534 727711763 735203648 751186336 990926656 1079830358 1424457068 1455423526 1470407296 1502372672 1981853312 2159660716 2848914136 2910847052 3004745344 4319321432 5697828272 5821694104 8638642864 11395656544 11643388208 16737370549 17277285728 22791313088 23286776416 33474741098 34554571456 45582626176 46573552832 66949482196 69109142912 93147105664 133898964392 267797928784 535595857568 1071191715136 2142383430272