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38923378728144 = 243127191275312143
BaseRepresentation
bin10001101100110100011100…
…01010011001110011010000
312002211001001012001200111220
420312122032022121303100
520100210034423300034
6214441053042005040
711125056416163321
oct1066321612316320
9162731035050456
1038923378728144
111144734861a609
124447740946780
1318945c7182951
14987c89d28448
1547774693b749
hex23668e299cd0

38923378728144 has 160 divisors (see below), whose sum is σ = 101919803572224. Its totient is φ = 12799198863360.

The previous prime is 38923378728139. The next prime is 38923378728181. The reversal of 38923378728144 is 44182787332983.

It is a super-2 number, since 2×389233787281442 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3205410937 + ... + 3205423079.

Almost surely, 238923378728144 is an apocalyptic number.

It is an amenable number.

38923378728144 is an abundant number, since it is smaller than the sum of its proper divisors (62996424844080).

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

38923378728144 is a wasteful number, since it uses less digits than its factorization.

38923378728144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15225 (or 15219 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 69.

The spelling of 38923378728144 in words is "thirty-eight trillion, nine hundred twenty-three billion, three hundred seventy-eight million, seven hundred twenty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 127 191 254 381 382 508 573 762 764 1016 1146 1524 1528 2032 2292 2753 3048 3056 4584 5506 6096 8259 9168 11012 12143 16518 22024 24257 24286 33036 36429 44048 48514 48572 66072 72771 72858 97028 97144 132144 145542 145716 194056 194288 291084 291432 349631 388112 525823 582168 582864 699262 1048893 1051646 1164336 1398524 1542161 1577469 2097786 2103292 2319313 2797048 3084322 3154938 4195572 4206584 4626483 4638626 5594096 6168644 6309876 6957939 8391144 8413168 9252966 9277252 12337288 12619752 13915878 16782288 18505932 18554504 24674576 25239504 27831756 33429679 37011864 37109008 55663512 66779521 66859358 74023728 100289037 111327024 133559042 133718716 200338563 200578074 267118084 267437432 294552751 400677126 401156148 534236168 534874864 589105502 801354252 802312296 883658253 1068472336 1178211004 1602708504 1604624592 1767316506 2356422008 3205417008 3534633012 4245569233 4712844016 6385068689 7069266024 8491138466 12736707699 12770137378 14138532048 16982276932 19155206067 25473415398 25540274756 33964553864 38310412134 50946830796 51080549512 67929107728 76620824268 101893661592 102161099024 153241648536 203787323184 306483297072 810903723503 1621807447006 2432711170509 3243614894012 4865422341018 6487229788024 9730844682036 12974459576048 19461689364072 38923378728144