Search a number
-
+
142879779718656 = 293536412738077
BaseRepresentation
bin100000011111001011001010…
…100001000000011000000000
3200201220011200111211202100120
4200133023022201000120000
5122211420242101444111
61223514021544420240
742044503065023121
oct4037131241003000
9621804614752316
10142879779718656
1141586a79868202
1214037085177680
13619567551a746
14273d5bd8da048
15117b96e766406
hex81f2ca840600

142879779718656 has 160 divisors (see below), whose sum is σ = 388427731721568. Its totient is φ = 46655062671360.

The previous prime is 142879779718631. The next prime is 142879779718721. The reversal of 142879779718656 is 656817977978241.

It is a congruent number.

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, 50813490 + ... + 53551566.

Almost surely, 2142879779718656 is an apocalyptic number.

142879779718656 is a gapful number since it is divisible by the number (16) 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 142879779718656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194213865860784).

142879779718656 is an abundant number, since it is smaller than the sum of its proper divisors (245547952002912).

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

142879779718656 is an equidigital number, since it uses as much as digits as its factorization.

142879779718656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738792 (or 2738776 counting only the distinct ones).

The product of its digits is 17923368960, while the sum is 87.

The spelling of 142879779718656 in words is "one hundred forty-two trillion, eight hundred seventy-nine billion, seven hundred seventy-nine million, seven hundred eighteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 512 636 641 768 848 1272 1282 1536 1696 1923 2544 2564 3392 3846 5088 5128 6784 7692 10176 10256 13568 15384 20352 20512 27136 30768 33973 40704 41024 61536 67946 81408 82048 101919 123072 135892 164096 203838 246144 271784 328192 407676 492288 543568 815352 984576 1087136 1630704 2174272 2738077 3261408 4348544 5476154 6522816 8214231 8697088 10952308 13045632 16428462 17394176 21904616 26091264 32856924 43809232 52182528 65713848 87618464 131427696 145118081 175236928 262855392 290236162 350473856 435354243 525710784 580472324 700947712 870708486 1051421568 1160944648 1401895424 1741416972 1755107357 2102843136 2321889296 3482833944 3510214714 4205686272 4643778592 5265322071 6965667888 7020429428 9287557184 10530644142 13931335776 14040858856 18575114368 21061288284 27862671552 28081717712 37150228736 42122576568 55725343104 56163435424 74300457472 84245153136 93020689921 111450686208 112326870848 168490306272 186041379842 222901372416 224653741696 279062069763 336980612544 372082759684 449307483392 558124139526 673961225088 744165519368 898614966784 1116248279052 1347922450176 1488331038736 2232496558104 2695844900352 2976662077472 4464993116208 5953324154944 8929986232416 11906648309888 17859972464832 23813296619776 35719944929664 47626593239552 71439889859328 142879779718656