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1427446563378 = 231153837396653
BaseRepresentation
bin10100110001011010011…
…100100000001000110010
312001110111012112200022020
4110301122130200020302
5141341402310012003
63011432045452310
7205062312410163
oct24613234401062
95043435480266
101427446563378
1150041640a620
121b0794b71096
13a47b8c80114
144d13589376a
15271e7a04d53
hex14c5a720232

1427446563378 has 128 divisors (see below), whose sum is σ = 3216251888640. Its totient is φ = 418654529280.

The previous prime is 1427446563371. The next prime is 1427446563409. The reversal of 1427446563378 is 8733656447241.

It is not an unprimeable number, because it can be changed into a prime (1427446563371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214553500 + ... + 214560152.

It is an arithmetic number, because the mean of its divisors is an integer number (25126967880).

Almost surely, 21427446563378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1427446563378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608125944320).

1427446563378 is an abundant number, since it is smaller than the sum of its proper divisors (1788805325262).

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

1427446563378 is a wasteful number, since it uses less digits than its factorization.

1427446563378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7544.

The product of its digits is 81285120, while the sum is 60.

The spelling of 1427446563378 in words is "one trillion, four hundred twenty-seven billion, four hundred forty-six million, five hundred sixty-three thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 11 22 33 53 66 83 106 159 166 249 318 498 583 739 913 1166 1478 1749 1826 2217 2739 3498 4399 4434 5478 6653 8129 8798 13197 13306 16258 19959 24387 26394 39167 39918 48389 48774 61337 73183 78334 96778 117501 122674 145167 146366 184011 219549 235002 290334 352609 368022 430837 439098 552199 674707 705218 861674 1057827 1104398 1292511 1349414 1656597 2024121 2115654 2585022 3250861 3313194 3878699 4048242 4916567 6074189 6501722 7757398 9752583 9833134 11636097 12148378 14749701 18222567 19505166 23272194 29266547 29499402 35759471 36445134 54082237 58533094 71518942 87799641 107278413 108164474 162246711 175599282 214556826 260578051 321932017 324493422 408075061 521156102 643864034 781734153 816150122 965796051 1224225183 1563468306 1931592102 2448450366 2866358561 4488825671 5732717122 8599075683 8977651342 13466477013 17198151366 21627978233 26932954026 43255956466 64883934699 129767869398 237907760563 475815521126 713723281689 1427446563378